121635671400 has 144 divisors (see below), whose sum is σ = 415190113260. Its totient is φ = 31904409600.

The previous prime is 121635671383. The next prime is 121635671401. The reversal of 121635671400 is 4176536121.

121635671400 is a `hidden beast` number, since 1 + 2 + 1 + 635 + 6 + 7 + 14 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50816881476 + 70818789924 = 225426^2 + 266118^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121635671401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444097 + ... + 663696.

Almost surely, 2^121635671400 is an apocalyptic number.

121635671400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121635671400 is an abundant number, since it is smaller than the sum of its proper divisors (293554441860).

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

121635671400 is a wasteful number, since it uses less digits than its factorization.

121635671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107876 (or 1107864 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 121635671400 in words is "one hundred twenty-one billion, six hundred thirty-five million, six hundred seventy-one thousand, four hundred".