123219137986560 has 4896 divisors, whose sum is σ = 586650517790400. Its totient is φ = 24721080975360.

The previous prime is 123219137986537. The next prime is 123219137986561. The reversal of 123219137986560 is 65689731912321.

123219137986560 is a `hidden beast` number, since 1 + 2 + 32 + 1 + 9 + 1 + 37 + 9 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (123219137986561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4248935792626 + ... + 4248935792654.

Almost surely, 2^{123219137986560} is an apocalyptic number.

123219137986560 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 123219137986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293325258895200).

123219137986560 is an abundant number, since it is smaller than the sum of its proper divisors (463431379803840).

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

123219137986560 is an frugal number, since it uses more digits than its factorization.

123219137986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 123219137986560 in words is "one hundred twenty-three trillion, two hundred nineteen billion, one hundred thirty-seven million, nine hundred eighty-six thousand, five hundred sixty".