120773625624 has 192 divisors, whose sum is σ = 337729392000. Its totient is φ = 38968086528.

The previous prime is 120773625619. The next prime is 120773625629. The reversal of 120773625624 is 426526377021.

120773625624 is a `hidden beast` number, since 1 + 20 + 7 + 7 + 3 + 62 + 562 + 4 = 666.

It is a Cunningham number, because it is equal to 347525²-1.

It is an interprime number because it is at equal distance from previous prime (120773625619) and next prime (120773625629).

It is a super-2 number, since 2×120773625624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120773625624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120773625629) 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, 268983352 + ... + 268983800.

It is an arithmetic number, because the mean of its divisors is an integer number (1759007250).

Almost surely, 2^120773625624 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 120773625624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168864696000).

120773625624 is an abundant number, since it is smaller than the sum of its proper divisors (216955766376).

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

120773625624 is a wasteful number, since it uses less digits than its factorization.

120773625624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 120773625624 in words is "one hundred twenty billion, seven hundred seventy-three million, six hundred twenty-five thousand, six hundred twenty-four".