Search a number
-
+
121121100120 = 23353592811539
BaseRepresentation
bin111000011001101100…
…0010101000101011000
3102120122010201101202010
41300303120111011120
53441024000200440
6131350421305520
711515331235606
oct1606330250530
9376563641663
10121121100120
1147404781249
121b5832652a0
13b563545117
145c101b8876
15323d608580
hex1c33615158

121121100120 has 64 divisors (see below), whose sum is σ = 364375584000. Its totient is φ = 32208979328.

The previous prime is 121121100109. The next prime is 121121100127. The reversal of 121121100120 is 21001121121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121121100096 and 121121100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121100127) 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, 1362690 + ... + 1448849.

It is an arithmetic number, because the mean of its divisors is an integer number (5693368500).

Almost surely, 2121121100120 is an apocalyptic number.

121121100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121100120 is an abundant number, since it is smaller than the sum of its proper divisors (243254483880).

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

121121100120 is a wasteful number, since it uses less digits than its factorization.

121121100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811912 (or 2811908 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121121100120 its reverse (21001121121), we get a palindrome (142122221241).

The spelling of 121121100120 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 10770 14360 21540 43080 2811539 5623078 8434617 11246156 14057695 16869234 22492312 28115390 33738468 42173085 56230780 67476936 84346170 112461560 168692340 337384680 1009342501 2018685002 3028027503 4037370004 5046712505 6056055006 8074740008 10093425010 12112110012 15140137515 20186850020 24224220024 30280275030 40373700040 60560550060 121121100120