123664325120 has 80 divisors (see below), whose sum is σ = 338862382848. Its totient is φ = 42399191040.

The previous prime is 123664325107. The next prime is 123664325131. The reversal of 123664325120 is 21523466321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×123664325120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432536 + ... + 3468375.

Almost surely, 2^123664325120 is an apocalyptic number.

123664325120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123664325120 is an abundant number, since it is smaller than the sum of its proper divisors (215198057728).

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

123664325120 is an frugal number, since it uses more digits than its factorization.

123664325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900941 (or 6900925 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 123664325120 in words is "one hundred twenty-three billion, six hundred sixty-four million, three hundred twenty-five thousand, one hundred twenty".