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120120102120 = 23351758882403
BaseRepresentation
bin110111111011110110…
…1110100110011101000
3102111001101011102122010
41233313231310303220
53432001221231440
6131103222355520
711451455010234
oct1576755646350
9374041142563
10120120102120
1146a40736677
121b343b8bba0
13b434048905
145b5728b5c4
1531d07cb580
hex1bf7b74ce8

120120102120 has 64 divisors (see below), whose sum is σ = 381557977920. Its totient is φ = 30147789824.

The previous prime is 120120102119. The next prime is 120120102187. The reversal of 120120102120 is 21201021021.

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 = 120120102096 and 120120102105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29439162 + ... + 29443241.

It is an arithmetic number, because the mean of its divisors is an integer number (5961843405).

Almost surely, 2120120102120 is an apocalyptic number.

120120102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120102120 is an abundant number, since it is smaller than the sum of its proper divisors (261437875800).

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

120120102120 is a wasteful number, since it uses less digits than its factorization.

120120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58882434 (or 58882430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120120102120 its reverse (21201021021), we get a palindrome (141321123141).

The spelling of 120120102120 in words is "one hundred twenty billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 58882403 117764806 176647209 235529612 294412015 353294418 471059224 588824030 706588836 883236045 1001000851 1177648060 1413177672 1766472090 2002001702 2355296120 3003002553 3532944180 4004003404 5005004255 6006005106 7065888360 8008006808 10010008510 12012010212 15015012765 20020017020 24024020424 30030025530 40040034040 60060051060 120120102120