121127149580400 has 150 divisors (see below), whose sum is σ = 434715619880432. Its totient is φ = 32300573212800.

The previous prime is 121127149580309. The next prime is 121127149580471. The reversal of 121127149580400 is 4085941721121.

It is a happy number.

121127149580400 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 27 + 1 + 4 + 9 + 580 + 40 + 0 = 666.

121127149580400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1869213736 + ... + 1869278535.

Almost surely, 2^{121127149580400} is an apocalyptic number.

121127149580400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121127149580400 is an abundant number, since it is smaller than the sum of its proper divisors (313588470300032).

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

121127149580400 is a wasteful number, since it uses less digits than its factorization.

121127149580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738492301 (or 3738492281 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 121127149580400 in words is "one hundred twenty-one trillion, one hundred twenty-seven billion, one hundred forty-nine million, five hundred eighty thousand, four hundred".