612057903912 has 512 divisors, whose sum is σ = 2164334592000. Its totient is φ = 155901957120.

The previous prime is 612057903901. The next prime is 612057903913. The reversal of 612057903912 is 219309750216.

It is a happy number.

612057903912 is a `hidden beast` number, since 6 + 120 + 57 + 90 + 391 + 2 = 666.

It is a super-2 number, since 2×612057903912² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (612057903913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559979238 + ... + 559980330.

It is an arithmetic number, because the mean of its divisors is an integer number (4227216000).

Almost surely, 2^612057903912 is an apocalyptic number.

612057903912 is a gapful number since it is divisible by the number (62) 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 612057903912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082167296000).

612057903912 is an abundant number, since it is smaller than the sum of its proper divisors (1552276688088).

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

612057903912 is a wasteful number, since it uses less digits than its factorization.

612057903912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 612057903912 in words is "six hundred twelve billion, fifty-seven million, nine hundred three thousand, nine hundred twelve".