123312000213120 has 512 divisors, whose sum is σ = 417084980716800. Its totient is φ = 30881533132800.

The previous prime is 123312000213109. The next prime is 123312000213131. The reversal of 123312000213120 is 21312000213321.

It is an interprime number because it is at equal distance from previous prime (123312000213109) and next prime (123312000213131).

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 63 ways as a sum of consecutive naturals, for example, 44024275720 + ... + 44024278520.

Almost surely, 2^{123312000213120} is an apocalyptic number.

123312000213120 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 123312000213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208542490358400).

123312000213120 is an abundant number, since it is smaller than the sum of its proper divisors (293772980503680).

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

123312000213120 is a wasteful number, since it uses less digits than its factorization.

123312000213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123312000213120 its reverse (21312000213321), we get a palindrome (144624000426441).

The spelling of 123312000213120 in words is "one hundred twenty-three trillion, three hundred twelve billion, two hundred thirteen thousand, one hundred twenty".