120423092428800 has 4536 divisors, whose sum is σ = 546978733441920. Its totient is φ = 26185885286400.

The previous prime is 120423092428747. The next prime is 120423092428811. The reversal of 120423092428800 is 8824290324021.

120423092428800 is a `hidden beast` number, since 1 + 2 + 0 + 42 + 309 + 24 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-3 number, since 3×120423092428800³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 323 ways as a sum of consecutive naturals, for example, 2041069363171 + ... + 2041069363229.

Almost surely, 2^{120423092428800} is an apocalyptic number.

120423092428800 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 120423092428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273489366720960).

120423092428800 is an abundant number, since it is smaller than the sum of its proper divisors (426555641013120).

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

120423092428800 is an frugal number, since it uses more digits than its factorization.

120423092428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 120423092428800 in words is "one hundred twenty trillion, four hundred twenty-three billion, ninety-two million, four hundred twenty-eight thousand, eight hundred".