Search a number
-
+
1122120112000 = 2753471492181
BaseRepresentation
bin10000010101000011100…
…100100001011110000000
310222021101110221212220011
4100111003210201132000
5121341100222041000
62215254520154304
7144033116401666
oct20250344413600
93867343855804
101122120112000
113a2985605598
12161583908994
1381a7a793144
143c44d192c36
151e2c79082ba
hex10543921780

1122120112000 has 128 divisors (see below), whose sum is σ = 2849231998080. Its totient is φ = 439297792000.

The previous prime is 1122120111989. The next prime is 1122120112007. The reversal of 1122120112000 is 2110212211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122120112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5910 + ... + 1498090.

It is an arithmetic number, because the mean of its divisors is an integer number (22259624985).

Almost surely, 21122120112000 is an apocalyptic number.

1122120112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424615999040).

1122120112000 is an abundant number, since it is smaller than the sum of its proper divisors (1727111886080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122120112000 is an equidigital number, since it uses as much as digits as its factorization.

1122120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492257 (or 1492235 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1122120112000 its reverse (2110212211), we get a palindrome (1124230324211).

The spelling of 1122120112000 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 320 376 400 470 500 640 752 800 940 1000 1175 1504 1600 1880 2000 2350 3008 3200 3760 4000 4700 5875 6016 7520 8000 9400 11750 15040 16000 18800 23500 30080 37600 47000 75200 94000 150400 188000 376000 752000 1492181 2984362 5968724 7460905 11937448 14921810 23874896 29843620 37304525 47749792 59687240 70132507 74609050 95499584 119374480 140265014 149218100 186522625 190999168 238748960 280530028 298436200 350662535 373045250 477497920 561060056 596872400 701325070 746090500 954995840 1122120112 1193744800 1402650140 1492181000 1753312675 2244240224 2387489600 2805300280 2984362000 3506625350 4488480448 4774979200 5610600560 5968724000 7013250700 8766563375 8976960896 11221201120 11937448000 14026501400 17533126750 22442402240 23874896000 28053002800 35066253500 44884804480 56106005600 70132507000 112212011200 140265014000 224424022400 280530028000 561060056000 1122120112000