121577742400 has 189 divisors, whose sum is σ = 313556904381. Its totient is φ = 46393966080.

The previous prime is 121577742397. The next prime is 121577742401. The reversal of 121577742400 is 4247775121.

The square root of 121577742400 is 348680.

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., 43767987264 + 77809755136 = 209208^2 + 278944^2 .

It is a super-2 number, since 2×121577742400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121577742401) 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 26 ways as a sum of consecutive naturals, for example, 320785411 + ... + 320785789.

Almost surely, 2^121577742400 is an apocalyptic number.

121577742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121577742400 is the 348680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121577742400

121577742400 is an abundant number, since it is smaller than the sum of its proper divisors (191979161981).

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

121577742400 is an frugal number, since it uses more digits than its factorization.

121577742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The spelling of 121577742400 in words is "one hundred twenty-one billion, five hundred seventy-seven million, seven hundred forty-two thousand, four hundred".