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120207274992 = 243571732931
BaseRepresentation
bin110111111110011101…
…0010111001111110000
3102111021110012021100000
41233330322113033300
53432141030244432
6131120015030000
711453563656450
oct1577472271760
9374243167300
10120207274992
1146a85966972
121b36920b300
13b44911aaac
145b64a9dd60
1531d829a57c
hex1bfce973f0

120207274992 has 960 divisors, whose sum is σ = 452371046400. Its totient is φ = 30203228160.

The previous prime is 120207274991. The next prime is 120207275113. The reversal of 120207274992 is 299472702021.

It is a happy number.

It is a super-2 number, since 2×1202072749922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120207274991) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3877654017 + ... + 3877654047.

It is an arithmetic number, because the mean of its divisors is an integer number (471219840).

Almost surely, 2120207274992 is an apocalyptic number.

120207274992 is a gapful number since it is divisible by the number (12) 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 120207274992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226185523200).

120207274992 is an abundant number, since it is smaller than the sum of its proper divisors (332163771408).

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

120207274992 is an equidigital number, since it uses as much as digits as its factorization.

120207274992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 120207274992 in words is "one hundred twenty billion, two hundred seven million, two hundred seventy-four thousand, nine hundred ninety-two".