121140144554400 has 216 divisors, whose sum is σ = 435230255629260. Its totient is φ = 31694528286720.

The previous prime is 121140144554389. The next prime is 121140144554411. The reversal of 121140144554400 is 4455441041121.

121140144554400 is a `hidden beast` number, since 1 + 2 + 11 + 40 + 14 + 4 + 554 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121140144554389) and next prime (121140144554411).

It can be written as a sum of positive squares in 6 ways, for example, as 52738444991376 + 68401699563024 = 7262124^2 + 8270532^2 .

It is a super-3 number, since 3×121140144554400³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158345005 + ... + 159108204.

Almost surely, 2^{121140144554400} is an apocalyptic number.

121140144554400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121140144554400 is an abundant number, since it is smaller than the sum of its proper divisors (314090111074860).

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

121140144554400 is a wasteful number, since it uses less digits than its factorization.

121140144554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317453288 (or 317453272 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 121140144554400 its reverse (4455441041121), we get a palindrome (125595585595521).

The spelling of 121140144554400 in words is "one hundred twenty-one trillion, one hundred forty billion, one hundred forty-four million, five hundred fifty-four thousand, four hundred".