120134677440 has 168 divisors, whose sum is σ = 402560485200. Its totient is φ = 30349725696.

The previous prime is 120134677417. The next prime is 120134677501. The reversal of 120134677440 is 44776431021.

It is a super-2 number, since 2×120134677440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173236 + ... + 519884.

Almost surely, 2^120134677440 is an apocalyptic number.

120134677440 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 120134677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201280242600).

120134677440 is an abundant number, since it is smaller than the sum of its proper divisors (282425807760).

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

120134677440 is a wasteful number, since it uses less digits than its factorization.

120134677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346707 (or 346678 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

It can be divided in two parts, 12013 and 4677440, that added together give a triangular number (4689453 = T₃₀₆₂).

The spelling of 120134677440 in words is "one hundred twenty billion, one hundred thirty-four million, six hundred seventy-seven thousand, four hundred forty".