121298958400 has 63 divisors (see below), whose sum is σ = 298505532909. Its totient is φ = 48514010880.

The previous prime is 121298958397. The next prime is 121298958401. The reversal of 121298958400 is 4859892121.

The square root of 121298958400 is 348280.

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., 43667625024 + 77631333376 = 208968^2 + 278624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121298958401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 13926847 + ... + 13935553.

Almost surely, 2^121298958400 is an apocalyptic number.

121298958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121298958400 is the 348280-th square number.

It is an amenable number.

121298958400 is an abundant number, since it is smaller than the sum of its proper divisors (177206574509).

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

121298958400 is an frugal number, since it uses more digits than its factorization.

121298958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17436 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 121298958400 by its sum of digits (49), we get a square (5943648961600 = 2437960²).

The spelling of 121298958400 in words is "one hundred twenty-one billion, two hundred ninety-eight million, nine hundred fifty-eight thousand, four hundred".