120023133300000 has 2592 divisors, whose sum is σ = 521053967161728. Its totient is φ = 26078976000000.

The previous prime is 120023133299999. The next prime is 120023133300011. The reversal of 120023133300000 is 3331320021.

120023133300000 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 313 + 330 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 244446299755 + ... + 244446300245.

It is an arithmetic number, because the mean of its divisors is an integer number (201023907084).

Almost surely, 2^{120023133300000} is an apocalyptic number.

120023133300000 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 120023133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260526983580864).

120023133300000 is an abundant number, since it is smaller than the sum of its proper divisors (401030833861728).

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

120023133300000 is a wasteful number, since it uses less digits than its factorization.

120023133300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120023133300000 its reverse (3331320021), we get a palindrome (120026464620021).

The spelling of 120023133300000 in words is "one hundred twenty trillion, twenty-three billion, one hundred thirty-three million, three hundred thousand".