30121652736 has 800 divisors, whose sum is σ = 111543336960. Its totient is φ = 7900913664.

The previous prime is 30121652719. The next prime is 30121652767. The reversal of 30121652736 is 63725612103.

30121652736 is a `hidden beast` number, since 3 + 0 + 121 + 6 + 527 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30121652736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237178305 + ... + 237178431.

Almost surely, 2^30121652736 is an apocalyptic number.

30121652736 is a gapful number since it is divisible by the number (36) 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 30121652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55771668480).

30121652736 is an abundant number, since it is smaller than the sum of its proper divisors (81421684224).

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

30121652736 is a wasteful number, since it uses less digits than its factorization.

30121652736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 30121652736 in words is "thirty billion, one hundred twenty-one million, six hundred fifty-two thousand, seven hundred thirty-six".