120625362012000 has 384 divisors, whose sum is σ = 398276570764800. Its totient is φ = 31914276710400.

The previous prime is 120625362011971. The next prime is 120625362012119. The reversal of 120625362012000 is 210263526021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1578765799 + ... + 1578842201.

It is an arithmetic number, because the mean of its divisors is an integer number (1037178569700).

Almost surely, 2^{120625362012000} is an apocalyptic number.

120625362012000 is a gapful number since it is divisible by the number (10) 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 120625362012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199138285382400).

120625362012000 is an abundant number, since it is smaller than the sum of its proper divisors (277651208752800).

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

120625362012000 is a wasteful number, since it uses less digits than its factorization.

120625362012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77463 (or 77445 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 120625362012000 in words is "one hundred twenty trillion, six hundred twenty-five billion, three hundred sixty-two million, twelve thousand".