120886365600 has 1152 divisors, whose sum is σ = 587122421760. Its totient is φ = 23182848000.

The previous prime is 120886365599. The next prime is 120886365601. The reversal of 120886365600 is 6563688021.

120886365600 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 8 + 6 + 36 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (120886365599) and next prime (120886365601).

It is a super-2 number, since 2×120886365600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120886365601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21618805 + ... + 21624395.

It is an arithmetic number, because the mean of its divisors is an integer number (509654880).

Almost surely, 2^120886365600 is an apocalyptic number.

120886365600 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 120886365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293561210880).

120886365600 is an abundant number, since it is smaller than the sum of its proper divisors (466236056160).

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

120886365600 is a wasteful number, since it uses less digits than its factorization.

120886365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5651 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 120886365600 in words is "one hundred twenty billion, eight hundred eighty-six million, three hundred sixty-five thousand, six hundred".