120127276800000 has 2880 divisors, whose sum is σ = 487442976340320. Its totient is φ = 29355540480000.

The previous prime is 120127276799993. The next prime is 120127276800029. The reversal of 120127276800000 is 8672721021.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 378950399842 + ... + 378950400158.

Almost surely, 2^{120127276800000} is an apocalyptic number.

120127276800000 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 120127276800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243721488170160).

120127276800000 is an abundant number, since it is smaller than the sum of its proper divisors (367315699540320).

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

120127276800000 is an frugal number, since it uses more digits than its factorization.

120127276800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 120127276800000 in words is "one hundred twenty trillion, one hundred twenty-seven billion, two hundred seventy-six million, eight hundred thousand".