120674511434880 has 2560 divisors, whose sum is σ = 516722620896000. Its totient is φ = 26450754011136.

The previous prime is 120674511434849. The next prime is 120674511434927. The reversal of 120674511434880 is 88434115476021.

It is a happy number.

120674511434880 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 7 + 4 + 511 + 4 + 3 + 48 + 80 = 666.

It is a super-2 number, since 2×120674511434880² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 159411507462 + ... + 159411508218.

Almost surely, 2^{120674511434880} is an apocalyptic number.

120674511434880 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 120674511434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258361310448000).

120674511434880 is an abundant number, since it is smaller than the sum of its proper divisors (396048109461120).

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

120674511434880 is an equidigital number, since it uses as much as digits as its factorization.

120674511434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 120674511434880 in words is "one hundred twenty trillion, six hundred seventy-four billion, five hundred eleven million, four hundred thirty-four thousand, eight hundred eighty".