612845129120 has 288 divisors, whose sum is σ = 1692369262080. Its totient is φ = 205403627520.

The previous prime is 612845129107. The next prime is 612845129137. The reversal of 612845129120 is 21921548216.

It is a super-2 number, since 2×612845129120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2180943380 + ... + 2180943660.

It is an arithmetic number, because the mean of its divisors is an integer number (5876282160).

Almost surely, 2^612845129120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612845129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846184631040).

612845129120 is an abundant number, since it is smaller than the sum of its proper divisors (1079524132960).

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

612845129120 is a wasteful number, since it uses less digits than its factorization.

612845129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 612845129120 in words is "six hundred twelve billion, eight hundred forty-five million, one hundred twenty-nine thousand, one hundred twenty".