12495129221520 has 1920 divisors, whose sum is σ = 51725603635200. Its totient is φ = 2745753292800.

The previous prime is 12495129221461. The next prime is 12495129221611. The reversal of 12495129221520 is 2512292159421.

12495129221520 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 5 + 12 + 92 + 21 + 520 = 666.

It is a super-2 number, since 2×12495129221520² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47509996909 + ... + 47509997171.

It is an arithmetic number, because the mean of its divisors is an integer number (26940418560).

Almost surely, 2^{12495129221520} is an apocalyptic number.

12495129221520 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 12495129221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862801817600).

12495129221520 is an abundant number, since it is smaller than the sum of its proper divisors (39230474413680).

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

12495129221520 is a wasteful number, since it uses less digits than its factorization.

12495129221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12495129221520 in words is "twelve trillion, four hundred ninety-five billion, one hundred twenty-nine million, two hundred twenty-one thousand, five hundred twenty".