30121663104 has 160 divisors (see below), whose sum is σ = 96537519540. Its totient is φ = 9268162560.

The previous prime is 30121663079. The next prime is 30121663127. The reversal of 30121663104 is 40136612103.

30121663104 is a `hidden beast` number, since 3 + 0 + 1 + 21 + 6 + 631 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30084208704 + 37454400 = 173448^2 + 6120^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23044 + ... + 246524.

Almost surely, 2^30121663104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48268759770).

30121663104 is an abundant number, since it is smaller than the sum of its proper divisors (66415856436).

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

30121663104 is a wasteful number, since it uses less digits than its factorization.

30121663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223520 (or 223499 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30121663104 in words is "thirty billion, one hundred twenty-one million, six hundred sixty-three thousand, one hundred four".