30720121152000 has 960 divisors, whose sum is σ = 119926429324416. Its totient is φ = 6955890278400.

The previous prime is 30720121151971. The next prime is 30720121152011. The reversal of 30720121152000 is 25112102703.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006640742 + ... + 1006671258.

Almost surely, 2^{30720121152000} is an apocalyptic number.

30720121152000 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 30720121152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59963214662208).

30720121152000 is an abundant number, since it is smaller than the sum of its proper divisors (89206308172416).

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

30720121152000 is a wasteful number, since it uses less digits than its factorization.

30720121152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30674 (or 30641 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 30720121152000 its reverse (25112102703), we get a palindrome (30745233254703).

The spelling of 30720121152000 in words is "thirty trillion, seven hundred twenty billion, one hundred twenty-one million, one hundred fifty-two thousand".