123300666621000 has 768 divisors, whose sum is σ = 459590412153600. Its totient is φ = 29566162944000.

The previous prime is 123300666620981. The next prime is 123300666621001. The reversal of 123300666621000 is 126666003321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123300666621001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28991454874 + ... + 28991459126.

It is an arithmetic number, because the mean of its divisors is an integer number (598425015825).

Almost surely, 2^{123300666621000} is an apocalyptic number.

123300666621000 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 123300666621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229795206076800).

123300666621000 is an abundant number, since it is smaller than the sum of its proper divisors (336289745532600).

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

123300666621000 is a wasteful number, since it uses less digits than its factorization.

123300666621000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 123300666621000 in words is "one hundred twenty-three trillion, three hundred billion, six hundred sixty-six million, six hundred twenty-one thousand".