12150767274240 has 576 divisors, whose sum is σ = 45578242773504. Its totient is φ = 2700518621184.

The previous prime is 12150767274229. The next prime is 12150767274259. The reversal of 12150767274240 is 4247276705121.

It is a super-2 number, since 2×12150767274240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12150767274240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125371862 + ... + 2125377578.

It is an arithmetic number, because the mean of its divisors is an integer number (79128893704).

Almost surely, 2^{12150767274240} is an apocalyptic number.

12150767274240 is a gapful number since it is divisible by the number (10) 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 12150767274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22789121386752).

12150767274240 is an abundant number, since it is smaller than the sum of its proper divisors (33427475499264).

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

12150767274240 is a wasteful number, since it uses less digits than its factorization.

12150767274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 12150767274240 in words is "twelve trillion, one hundred fifty billion, seven hundred sixty-seven million, two hundred seventy-four thousand, two hundred forty".