120496610880 has 560 divisors, whose sum is σ = 439737154560. Its totient is φ = 31308705792.

The previous prime is 120496610869. The next prime is 120496610881. The reversal of 120496610880 is 88016694021.

120496610880 is a `hidden beast` number, since 1 + 20 + 4 + 9 + 6 + 610 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×120496610880² (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 (120496610881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328328457 + ... + 328328823.

Almost surely, 2^120496610880 is an apocalyptic number.

120496610880 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 120496610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219868577280).

120496610880 is an abundant number, since it is smaller than the sum of its proper divisors (319240543680).

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

120496610880 is a wasteful number, since it uses less digits than its factorization.

120496610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 120496610880 in words is "one hundred twenty billion, four hundred ninety-six million, six hundred ten thousand, eight hundred eighty".