123012212212032 has 672 divisors, whose sum is σ = 405738305616000. Its totient is φ = 32582400491520.

The previous prime is 123012212211983. The next prime is 123012212212049. The reversal of 123012212212032 is 230212212210321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123012212211993 and 123012212212011.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16738629094 + ... + 16738636442.

It is an arithmetic number, because the mean of its divisors is an integer number (603777240500).

Almost surely, 2^{123012212212032} is an apocalyptic number.

123012212212032 is a gapful number since it is divisible by the number (12) 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 123012212212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202869152808000).

123012212212032 is an abundant number, since it is smaller than the sum of its proper divisors (282726093403968).

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

123012212212032 is a wasteful number, since it uses less digits than its factorization.

123012212212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 123012212212032 its reverse (230212212210321), we get a palindrome (353224424422353).

The spelling of 123012212212032 in words is "one hundred twenty-three trillion, twelve billion, two hundred twelve million, two hundred twelve thousand, thirty-two".