123312000000000 has 1120 divisors, whose sum is σ = 471011201768448. Its totient is φ = 28108800000000.

The previous prime is 123311999999999. The next prime is 123312000000031. The reversal of 123312000000000 is 213321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 335999999817 + ... + 336000000183.

Almost surely, 2^{123312000000000} is an apocalyptic number.

123312000000000 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 123312000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235505600884224).

123312000000000 is an abundant number, since it is smaller than the sum of its proper divisors (347699201768448).

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

123312000000000 is an frugal number, since it uses more digits than its factorization.

123312000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123312000000000 its reverse (213321), we get a palindrome (123312000213321).

The spelling of 123312000000000 in words is "one hundred twenty-three trillion, three hundred twelve billion", and thus it is an aban number.