120629839721472 has 1056 divisors, whose sum is σ = 390845507270400. Its totient is φ = 37098175758336.

The previous prime is 120629839721441. The next prime is 120629839721477. The reversal of 120629839721472 is 274127938926021.

120629839721472 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 2 + 98 + 3 + 9 + 72 + 1 + 472 = 666.

120629839721472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120629839721477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120992817678 + ... + 120992818674.

Almost surely, 2^{120629839721472} is an apocalyptic number.

120629839721472 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 120629839721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195422753635200).

120629839721472 is an abundant number, since it is smaller than the sum of its proper divisors (270215667548928).

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

120629839721472 is an frugal number, since it uses more digits than its factorization.

120629839721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 120629839721472 in words is "one hundred twenty trillion, six hundred twenty-nine billion, eight hundred thirty-nine million, seven hundred twenty-one thousand, four hundred seventy-two".