123311133112320 has 768 divisors, whose sum is σ = 450439262582400. Its totient is φ = 31975774617600.

The previous prime is 123311133112319. The next prime is 123311133112337. The reversal of 123311133112320 is 23211331113321.

123311133112320 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 1 + 1 + 331 + 1 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33318326470 + ... + 33318330170.

Almost surely, 2^{123311133112320} is an apocalyptic number.

123311133112320 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 123311133112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225219631291200).

123311133112320 is an abundant number, since it is smaller than the sum of its proper divisors (327128129470080).

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

123311133112320 is a wasteful number, since it uses less digits than its factorization.

123311133112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123311133112320 its reverse (23211331113321), we get a palindrome (146522464225641).

The spelling of 123311133112320 in words is "one hundred twenty-three trillion, three hundred eleven billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty".