12015270540 has 768 divisors, whose sum is σ = 51345100800. Its totient is φ = 2257403904.

The previous prime is 12015270529. The next prime is 12015270581. The reversal of 12015270540 is 4507251021.

12015270540 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 52 + 70 + 540 = 666.

It is a super-2 number, since 2×12015270540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15871842 + ... + 15872598.

It is an arithmetic number, because the mean of its divisors is an integer number (66855600).

Almost surely, 2^12015270540 is an apocalyptic number.

12015270540 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 12015270540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25672550400).

12015270540 is an abundant number, since it is smaller than the sum of its proper divisors (39329830260).

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

12015270540 is a wasteful number, since it uses less digits than its factorization.

12015270540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 12015270540 in words is "twelve billion, fifteen million, two hundred seventy thousand, five hundred forty".