123272743968000 has 3240 divisors, whose sum is σ = 522294695362440. Its totient is φ = 28849582080000.

The previous prime is 123272743967887. The next prime is 123272743968037. The reversal of 123272743968000 is 869347272321.

It is a happy number.

123272743968000 is a `hidden beast` number, since 12 + 32 + 72 + 74 + 396 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118148937984 + 123154595030016 = 343728^2 + 11097504^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 301400351796 + ... + 301400352204.

Almost surely, 2^{123272743968000} is an apocalyptic number.

123272743968000 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 123272743968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261147347681220).

123272743968000 is an abundant number, since it is smaller than the sum of its proper divisors (399021951394440).

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

123272743968000 is an equidigital number, since it uses as much as digits as its factorization.

123272743968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 123272743968000 in words is "one hundred twenty-three trillion, two hundred seventy-two billion, seven hundred forty-three million, nine hundred sixty-eight thousand".