123332211231102 has 768 divisors, whose sum is σ = 305155661690880. Its totient is φ = 37247164416000.

The previous prime is 123332211231011. The next prime is 123332211231127. The reversal of 123332211231102 is 201132112233321.

123332211231102 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 322 + 1 + 1 + 231 + 102 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 511751913702 + ... + 511751913942.

It is an arithmetic number, because the mean of its divisors is an integer number (397338101160).

Almost surely, 2^{123332211231102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123332211231102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152577830845440).

123332211231102 is an abundant number, since it is smaller than the sum of its proper divisors (181823450459778).

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

123332211231102 is a wasteful number, since it uses less digits than its factorization.

123332211231102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123332211231102 its reverse (201132112233321), we get a palindrome (324464323464423).

The spelling of 123332211231102 in words is "one hundred twenty-three trillion, three hundred thirty-two billion, two hundred eleven million, two hundred thirty-one thousand, one hundred two".