30512412012720 has 480 divisors, whose sum is σ = 107669177231616. Its totient is φ = 7137854760960.

The previous prime is 30512412012703. The next prime is 30512412012767. The reversal of 30512412012720 is 2721021421503.

It is a super-2 number, since 2×30512412012720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103496562 + ... + 103790958.

Almost surely, 2^{30512412012720} is an apocalyptic number.

30512412012720 is a gapful number since it is divisible by the number (30) 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 30512412012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53834588615808).

30512412012720 is an abundant number, since it is smaller than the sum of its proper divisors (77156765218896).

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

30512412012720 is a wasteful number, since it uses less digits than its factorization.

30512412012720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294561 (or 294544 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 30512412012720 in words is "thirty trillion, five hundred twelve billion, four hundred twelve million, twelve thousand, seven hundred twenty".