121993724176 has 45 divisors (see below), whose sum is σ = 244875660133. Its totient is φ = 58873962560.

The previous prime is 121993724131. The next prime is 121993724183. The reversal of 121993724176 is 671427399121.

The square root of 121993724176 is 349276.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63970549776 + 58023174400 = 252924^2 + 240880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40514511 + ... + 40517521.

Almost surely, 2^121993724176 is an apocalyptic number.

121993724176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121993724176 is the 349276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121993724176

121993724176 is an abundant number, since it is smaller than the sum of its proper divisors (122881935957).

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

121993724176 is an frugal number, since it uses more digits than its factorization.

121993724176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 3042 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 52.

The spelling of 121993724176 in words is "one hundred twenty-one billion, nine hundred ninety-three million, seven hundred twenty-four thousand, one hundred seventy-six".