121846374225 has 45 divisors (see below), whose sum is σ = 225730705057. Its totient is φ = 64976355360.

The previous prime is 121846374211. The next prime is 121846374233. The reversal of 121846374225 is 522473648121.

The square root of 121846374225 is 349065.

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

121846374225 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 4 + 637 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5226856209 + 116619518016 = 72297^2 + 341496^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 121846374225 - 2¹⁵ = 121846341457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15704047 + ... + 15711803.

Almost surely, 2^121846374225 is an apocalyptic number.

121846374225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121846374225 is the 349065-th square number.

121846374225 is the 174533-rd centered octagonal number.

It is an amenable number.

121846374225 is a deficient number, since it is larger than the sum of its proper divisors (103884330832).

121846374225 is an frugal number, since it uses more digits than its factorization.

121846374225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 7765 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 121846374225 in words is "one hundred twenty-one billion, eight hundred forty-six million, three hundred seventy-four thousand, two hundred twenty-five".