121812499396900 has 243 divisors, whose sum is σ = 290454966553689. Its totient is φ = 44322657200640.

The previous prime is 121812499396867. The next prime is 121812499396957. The reversal of 121812499396900 is 9693994218121.

The square root of 121812499396900 is 11036870.

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 109704215144484 + 12108284252416 = 10473978^2 + 3479696^2 .

It is a super-2 number, since 2×121812499396900² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 104739895719 + ... + 104739896881.

Almost surely, 2^{121812499396900} is an apocalyptic number.

121812499396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121812499396900 is the 11036870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121812499396900

121812499396900 is an abundant number, since it is smaller than the sum of its proper divisors (168642467156789).

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

121812499396900 is an equidigital number, since it uses as much as digits as its factorization.

121812499396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 64.

The spelling of 121812499396900 in words is "one hundred twenty-one trillion, eight hundred twelve billion, four hundred ninety-nine million, three hundred ninety-six thousand, nine hundred".