3007497921120 has 864 divisors, whose sum is σ = 12958304486400. Its totient is φ = 621744076800.

The previous prime is 3007497921059. The next prime is 3007497921133. The reversal of 3007497921120 is 211297947003.

3007497921120 is a `hidden beast` number, since 30 + 0 + 7 + 497 + 9 + 2 + 1 + 120 = 666.

It is a super-2 number, since 2×3007497921120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 242710125 + ... + 242722515.

It is an arithmetic number, because the mean of its divisors is an integer number (14998037600).

Almost surely, 2^{3007497921120} is an apocalyptic number.

3007497921120 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 3007497921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479152243200).

3007497921120 is an abundant number, since it is smaller than the sum of its proper divisors (9950806565280).

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

3007497921120 is a wasteful number, since it uses less digits than its factorization.

3007497921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 3007497921120 in words is "three trillion, seven billion, four hundred ninety-seven million, nine hundred twenty-one thousand, one hundred twenty".