121745166400 has 567 divisors, whose sum is σ = 362497058469. Its totient is φ = 40195584000.

The previous prime is 121745166371. The next prime is 121745166401. The reversal of 121745166400 is 4661547121.

The square root of 121745166400 is 348920.

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

It can be written as a sum of positive squares in 13 ways, for example, as 107337485376 + 14407681024 = 327624^2 + 120032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121745166400.

It is not an unprimeable number, because it can be changed into a prime (121745166401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1995822370 + ... + 1995822430.

Almost surely, 2^121745166400 is an apocalyptic number.

121745166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121745166400 is the 348920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121745166400

121745166400 is an abundant number, since it is smaller than the sum of its proper divisors (240751892069).

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

121745166400 is a wasteful number, since it uses less digits than its factorization.

121745166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 121745166400 in words is "one hundred twenty-one billion, seven hundred forty-five million, one hundred sixty-six thousand, four hundred".