120246092007552 has 1536 divisors, whose sum is σ = 456065925120000. Its totient is φ = 29573663293440.

The previous prime is 120246092007541. The next prime is 120246092007553. The reversal of 120246092007552 is 255700290642021.

120246092007552 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 4 + 6 + 0 + 92 + 0 + 0 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120246092007498 and 120246092007507.

It is not an unprimeable number, because it can be changed into a prime (120246092007553) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38676772974 + ... + 38676776082.

It is an arithmetic number, because the mean of its divisors is an integer number (296917920000).

Almost surely, 2^{120246092007552} is an apocalyptic number.

120246092007552 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 120246092007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228032962560000).

120246092007552 is an abundant number, since it is smaller than the sum of its proper divisors (335819833112448).

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

120246092007552 is a wasteful number, since it uses less digits than its factorization.

120246092007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 120246092007552 in words is "one hundred twenty trillion, two hundred forty-six billion, ninety-two million, seven thousand, five hundred fifty-two".