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120031313112 = 233223671636637
BaseRepresentation
bin110111111001001101…
…1000111110011011000
3102110211012002111000100
41233302123013303120
53431311004004422
6131050331335400
711446326220164
oct1576233076330
9373735074010
10120031313112
11469a5602127
121b31a2b1560
13b41b82bc39
145b49577ca4
1531c7add7ac
hex1bf26c7cd8

120031313112 has 192 divisors, whose sum is σ = 346446247680. Its totient is φ = 37462715136.

The previous prime is 120031313069. The next prime is 120031313119. The reversal of 120031313112 is 211313130021.

It is a super-2 number, since 2×1200313131122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031313119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18081858 + ... + 18088494.

It is an arithmetic number, because the mean of its divisors is an integer number (1804407540).

Almost surely, 2120031313112 is an apocalyptic number.

120031313112 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 120031313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173223123840).

120031313112 is an abundant number, since it is smaller than the sum of its proper divisors (226414934568).

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

120031313112 is a wasteful number, since it uses less digits than its factorization.

120031313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120031313112 its reverse (211313130021), we get a palindrome (331344443133).

The spelling of 120031313112 in words is "one hundred twenty billion, thirty-one million, three hundred thirteen thousand, one hundred twelve".