120892508412 has 192 divisors, whose sum is σ = 314616766464. Its totient is φ = 35895202560.

The previous prime is 120892508371. The next prime is 120892508413. The reversal of 120892508412 is 214805298021.

120892508412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120892508412² (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 (120892508413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348393223 + ... + 348393569.

It is an arithmetic number, because the mean of its divisors is an integer number (1638628992).

Almost surely, 2^120892508412 is an apocalyptic number.

120892508412 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 120892508412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308383232).

120892508412 is an abundant number, since it is smaller than the sum of its proper divisors (193724258052).

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

120892508412 is a wasteful number, since it uses less digits than its factorization.

120892508412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 120892508412 in words is "one hundred twenty billion, eight hundred ninety-two million, five hundred eight thousand, four hundred twelve".