1251215958720 has 896 divisors, whose sum is σ = 5117035069440. Its totient is φ = 251937423360.

The previous prime is 1251215958691. The next prime is 1251215958739. The reversal of 1251215958720 is 278595121521.

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 1251215958720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197692516 + ... + 197698844.

It is an arithmetic number, because the mean of its divisors is an integer number (5710976640).

Almost surely, 2^{1251215958720} is an apocalyptic number.

1251215958720 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 1251215958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558517534720).

1251215958720 is an abundant number, since it is smaller than the sum of its proper divisors (3865819110720).

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

1251215958720 is a wasteful number, since it uses less digits than its factorization.

1251215958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 1251215958720 in words is "one trillion, two hundred fifty-one billion, two hundred fifteen million, nine hundred fifty-eight thousand, seven hundred twenty".