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120120122112 = 283179200377
BaseRepresentation
bin110111111011110110…
…1111001101100000000
3102111001101012110001120
41233313231321230000
53432001222401422
6131103223032240
711451455122434
oct1576755715400
9374041173046
10120120122112
1146a4074a6a1
121b343b9b680
13b434054a43
145b572949c4
1531d07d245c
hex1bf7b79b00

120120122112 has 72 divisors (see below), whose sum is σ = 338500307376. Its totient is φ = 37684740096.

The previous prime is 120120122051. The next prime is 120120122117. The reversal of 120120122112 is 211221021021.

It is a junction number, because it is equal to n+sod(n) for n = 120120122091 and 120120122100.

It is not an unprimeable number, because it can be changed into a prime (120120122117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4587133 + ... + 4613244.

It is an arithmetic number, because the mean of its divisors is an integer number (4701393158).

Almost surely, 2120120122112 is an apocalyptic number.

120120122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120120122112 is an abundant number, since it is smaller than the sum of its proper divisors (218380185264).

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

120120122112 is an equidigital number, since it uses as much as digits as its factorization.

120120122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200413 (or 9200399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120120122112 its reverse (211221021021), we get a palindrome (331341143133).

The spelling of 120120122112 in words is "one hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 9200377 18400754 27601131 36801508 55202262 73603016 110404524 147206032 156406409 220809048 294412064 312812818 441618096 469219227 588824128 625625636 883236192 938438454 1177648256 1251251272 1766472384 1876876908 2355296512 2502502544 3532944768 3753753816 5005005088 7065889536 7507507632 10010010176 15015015264 20020020352 30030030528 40040040704 60060061056 120120122112