120881530200 has 384 divisors, whose sum is σ = 408673843200. Its totient is φ = 29445120000.

The previous prime is 120881530177. The next prime is 120881530223. The reversal of 120881530200 is 2035188021.

It is an interprime number because it is at equal distance from previous prime (120881530177) and next prime (120881530223).

It is a super-2 number, since 2×120881530200² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 141712974 + ... + 141713826.

It is an arithmetic number, because the mean of its divisors is an integer number (1064254800).

Almost surely, 2^120881530200 is an apocalyptic number.

120881530200 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 120881530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204336921600).

120881530200 is an abundant number, since it is smaller than the sum of its proper divisors (287792313000).

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

120881530200 is a wasteful number, since it uses less digits than its factorization.

120881530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 120881530200 in words is "one hundred twenty billion, eight hundred eighty-one million, five hundred thirty thousand, two hundred".