123821080890084 has 192 divisors, whose sum is σ = 334248846919680. Its totient is φ = 39607121473920.

The previous prime is 123821080890037. The next prime is 123821080890119. The reversal of 123821080890084 is 480098080128321.

123821080890084 is a `hidden beast` number, since 1 + 2 + 382 + 108 + 0 + 89 + 0 + 0 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123821080890084.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84601017 + ... + 86052159.

It is an arithmetic number, because the mean of its divisors is an integer number (1740879411040).

Almost surely, 2^{123821080890084} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123821080890084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167124423459840).

123821080890084 is an abundant number, since it is smaller than the sum of its proper divisors (210427766029596).

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

123821080890084 is a wasteful number, since it uses less digits than its factorization.

123821080890084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451487 (or 1451479 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 123821080890084 in words is "one hundred twenty-three trillion, eight hundred twenty-one billion, eighty million, eight hundred ninety thousand, eighty-four".