121564145340 has 72 divisors (see below), whose sum is σ = 402266814768. Its totient is φ = 29470095360.

The previous prime is 121564145327. The next prime is 121564145341. The reversal of 121564145340 is 43541465121.

121564145340 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 641 + 4 + 5 + 3 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121564145295 and 121564145304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121564145341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30696037 + ... + 30699996.

It is an arithmetic number, because the mean of its divisors is an integer number (5587039094).

Almost surely, 2^121564145340 is an apocalyptic number.

121564145340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121564145340 is an abundant number, since it is smaller than the sum of its proper divisors (280702669428).

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

121564145340 is a wasteful number, since it uses less digits than its factorization.

121564145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61396059 (or 61396054 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 121564145340 in words is "one hundred twenty-one billion, five hundred sixty-four million, one hundred forty-five thousand, three hundred forty".