120509667043920 has 6480 divisors, whose sum is σ = 596432739861504. Its totient is φ = 21656833228800.

The previous prime is 120509667043873. The next prime is 120509667043933. The reversal of 120509667043920 is 29340766905021.

120509667043920 is a `hidden beast` number, since 1 + 2 + 0 + 50 + 96 + 6 + 70 + 439 + 2 + 0 = 666.

It is a super-3 number, since 3×120509667043920³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 879632606092 + ... + 879632606228.

Almost surely, 2^{120509667043920} is an apocalyptic number.

120509667043920 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 120509667043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298216369930752).

120509667043920 is an abundant number, since it is smaller than the sum of its proper divisors (475923072817584).

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

120509667043920 is a wasteful number, since it uses less digits than its factorization.

120509667043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 120509667043920 in words is "one hundred twenty trillion, five hundred nine billion, six hundred sixty-seven million, forty-three thousand, nine hundred twenty".