12072757211640 has 192 divisors, whose sum is σ = 41572570908960. Its totient is φ = 3027977134080.

The previous prime is 12072757211629. The next prime is 12072757211659. The reversal of 12072757211640 is 4611275727021.

It is a happy number.

12072757211640 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 7 + 572 + 11 + 64 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8397727 + ... + 9729713.

Almost surely, 2^{12072757211640} is an apocalyptic number.

12072757211640 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 12072757211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20786285454480).

12072757211640 is an abundant number, since it is smaller than the sum of its proper divisors (29499813697320).

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

12072757211640 is a wasteful number, since it uses less digits than its factorization.

12072757211640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333502 (or 1333495 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 12072757211640 in words is "twelve trillion, seventy-two billion, seven hundred fifty-seven million, two hundred eleven thousand, six hundred forty".