121274985645 has 224 divisors, whose sum is σ = 253683166464. Its totient is φ = 54979430400.

The previous prime is 121274985607. The next prime is 121274985683. The reversal of 121274985645 is 546589472121.

121274985645 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 74 + 9 + 8 + 564 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (121274985607) and next prime (121274985683).

It is not a de Polignac number, because 121274985645 - 2⁹ = 121274985133 is a prime.

It is a super-3 number, since 3×121274985645³ (a number of 34 digits) contains 333 as substring.

Its product of digits (4838400) is a multiple of the sum of its prime divisors (1200).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121274985591 and 121274985600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 123371824 + ... + 123372806.

It is an arithmetic number, because the mean of its divisors is an integer number (1132514136).

Almost surely, 2^121274985645 is an apocalyptic number.

121274985645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121274985645 is an abundant number, since it is smaller than the sum of its proper divisors (132408180819).

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

121274985645 is a wasteful number, since it uses less digits than its factorization.

121274985645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1200 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 121274985645 in words is "one hundred twenty-one billion, two hundred seventy-four million, nine hundred eighty-five thousand, six hundred forty-five".