120666589056 has 320 divisors, whose sum is σ = 400073335200. Its totient is φ = 35846737920.

The previous prime is 120666589049. The next prime is 120666589061. The reversal of 120666589056 is 650985666021.

It is a super-2 number, since 2×120666589056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 120666588993 and 120666589011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3893301 + ... + 3924171.

Almost surely, 2^120666589056 is an apocalyptic number.

120666589056 is a gapful number since it is divisible by the number (16) 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 120666589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200036667600).

120666589056 is an abundant number, since it is smaller than the sum of its proper divisors (279406746144).

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

120666589056 is a wasteful number, since it uses less digits than its factorization.

120666589056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30939 (or 30918 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 120666589056 in words is "one hundred twenty billion, six hundred sixty-six million, five hundred eighty-nine thousand, fifty-six".