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121111020 = 223256591021
BaseRepresentation
bin1110011100000…
…00000111101100
322102220002002100
413032000013230
5222001023040
620003455100
73000266232
oct716000754
9272802070
10121111020
1162400558
1234687490
131c125834
1412128952
15a974b30
hex73801ec

121111020 has 72 divisors (see below), whose sum is σ = 368287920. Its totient is φ = 32215680.

The previous prime is 121110991. The next prime is 121111021. The reversal of 121111020 is 20111121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121110993 and 121111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118110 + ... + 119130.

It is an arithmetic number, because the mean of its divisors is an integer number (5115110).

Almost surely, 2121111020 is an apocalyptic number.

121111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111020 is an abundant number, since it is smaller than the sum of its proper divisors (247176900).

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

121111020 is a wasteful number, since it uses less digits than its factorization.

121111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 121111020 is about 11005.0452066314. The cubic root of 121111020 is about 494.7599693310.

Adding to 121111020 its reverse (20111121), we get a palindrome (141222141).

It can be divided in two parts, 12111 and 1020, that added together give a palindrome (13131).

The spelling of 121111020 in words is "one hundred twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 659 1021 1318 1977 2042 2636 3063 3295 3954 4084 5105 5931 6126 6590 7908 9189 9885 10210 11862 12252 13180 15315 18378 19770 20420 23724 29655 30630 36756 39540 45945 59310 61260 91890 118620 183780 672839 1345678 2018517 2691356 3364195 4037034 6055551 6728390 8074068 10092585 12111102 13456780 20185170 24222204 30277755 40370340 60555510 121111020