1215256753152 has 440 divisors, whose sum is σ = 3915925525512. Its totient is φ = 373181644800.

The previous prime is 1215256753141. The next prime is 1215256753163. The reversal of 1215256753152 is 2513576525121.

1215256753152 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 5 + 67 + 531 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1215256753141) and next prime (1215256753163).

It can be written as a sum of positive squares in 4 ways, for example, as 50722246656 + 1164534506496 = 225216^2 + 1079136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1215256753098 and 1215256753107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 820564252 + ... + 820565732.

Almost surely, 2^{1215256753152} is an apocalyptic number.

1215256753152 is a gapful number since it is divisible by the number (12) 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 1215256753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957962762756).

1215256753152 is an abundant number, since it is smaller than the sum of its proper divisors (2700668772360).

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

1215256753152 is a wasteful number, since it uses less digits than its factorization.

1215256753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2260 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The spelling of 1215256753152 in words is "one trillion, two hundred fifteen billion, two hundred fifty-six million, seven hundred fifty-three thousand, one hundred fifty-two".