120001072918272 has 432 divisors, whose sum is σ = 400247638705152. Its totient is φ = 31636935106560.

The previous prime is 120001072918229. The next prime is 120001072918313. The reversal of 120001072918272 is 272819270100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365357913 + ... + 1365445799.

Almost surely, 2^{120001072918272} is an apocalyptic number.

120001072918272 is a gapful number since it is divisible by the number (12) 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 120001072918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200123819352576).

120001072918272 is an abundant number, since it is smaller than the sum of its proper divisors (280246565786880).

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

120001072918272 is a wasteful number, since it uses less digits than its factorization.

120001072918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90724 (or 90703 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 120001072918272 in words is "one hundred twenty trillion, one billion, seventy-two million, nine hundred eighteen thousand, two hundred seventy-two".