121564074240 has 1008 divisors, whose sum is σ = 513447959808. Its totient is φ = 26981351424.

The previous prime is 121564074227. The next prime is 121564074257. The reversal of 121564074240 is 42470465121.

121564074240 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 407 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 121564074195 and 121564074204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 241677829 + ... + 241678331.

It is an arithmetic number, because the mean of its divisors is an integer number (509372976).

Almost surely, 2^121564074240 is an apocalyptic number.

121564074240 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 121564074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256723979904).

121564074240 is an abundant number, since it is smaller than the sum of its proper divisors (391883885568).

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

121564074240 is an frugal number, since it uses more digits than its factorization.

121564074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 121564074240 in words is "one hundred twenty-one billion, five hundred sixty-four million, seventy-four thousand, two hundred forty".