123212311020000 has 1440 divisors, whose sum is σ = 466738949476800. Its totient is φ = 30762934272000.

The previous prime is 123212311019957. The next prime is 123212311020017. The reversal of 123212311020000 is 20113212321.

123212311020000 is a `hidden beast` number, since 1 + 232 + 1 + 231 + 1 + 0 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69337259112 + ... + 69337260888.

It is an arithmetic number, because the mean of its divisors is an integer number (324124270470).

Almost surely, 2^{123212311020000} is an apocalyptic number.

123212311020000 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 123212311020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233369474738400).

123212311020000 is an abundant number, since it is smaller than the sum of its proper divisors (343526638456800).

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

123212311020000 is a wasteful number, since it uses less digits than its factorization.

123212311020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123212311020000 its reverse (20113212321), we get a palindrome (123232424232321).

The spelling of 123212311020000 in words is "one hundred twenty-three trillion, two hundred twelve billion, three hundred eleven million, twenty thousand".