12151738067520 has 224 divisors, whose sum is σ = 38855884053888. Its totient is φ = 3217517494272.

The previous prime is 12151738067467. The next prime is 12151738067527. The reversal of 12151738067520 is 2576083715121.

It is a super-2 number, since 2×12151738067520² (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 12151738067520.

It is not an unprimeable number, because it can be changed into a prime (12151738067527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81209412 + ... + 81358908.

Almost surely, 2^{12151738067520} is an apocalyptic number.

12151738067520 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 12151738067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427942026944).

12151738067520 is an abundant number, since it is smaller than the sum of its proper divisors (26704145986368).

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

12151738067520 is a wasteful number, since it uses less digits than its factorization.

12151738067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150117 (or 150107 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 12151738067520 in words is "twelve trillion, one hundred fifty-one billion, seven hundred thirty-eight million, sixty-seven thousand, five hundred twenty".