121724168000 has 56 divisors (see below), whose sum is σ = 301449921864. Its totient is φ = 48689664000.

The previous prime is 121724167979. The next prime is 121724168047. The reversal of 121724168000 is 861427121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11404531264 + 110319636736 = 106792^2 + 332144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7599761 + ... + 7615760.

It is an arithmetic number, because the mean of its divisors is an integer number (5383034319).

Almost surely, 2^121724168000 is an apocalyptic number.

121724168000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121724168000 is an abundant number, since it is smaller than the sum of its proper divisors (179725753864).

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

121724168000 is an equidigital number, since it uses as much as digits as its factorization.

121724168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15215548 (or 15215528 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 121724168000 in words is "one hundred twenty-one billion, seven hundred twenty-four million, one hundred sixty-eight thousand".