121431591540000 has 1440 divisors, whose sum is σ = 510724211437440. Its totient is φ = 26769254400000.

The previous prime is 121431591539989. The next prime is 121431591540023. The reversal of 121431591540000 is 45195134121.

121431591540000 is a `hidden beast` number, since 1 + 2 + 14 + 3 + 1 + 591 + 54 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62885339035 + ... + 62885340965.

It is an arithmetic number, because the mean of its divisors is an integer number (354669591276).

Almost surely, 2^{121431591540000} is an apocalyptic number.

121431591540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121431591540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255362105718720).

121431591540000 is an abundant number, since it is smaller than the sum of its proper divisors (389292619897440).

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

121431591540000 is a wasteful number, since it uses less digits than its factorization.

121431591540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 121431591540000 in words is "one hundred twenty-one trillion, four hundred thirty-one billion, five hundred ninety-one million, five hundred forty thousand".