1215365134096 has 75 divisors (see below), whose sum is σ = 2466538784533. Its totient is φ = 580145920640.

The previous prime is 1215365134021. The next prime is 1215365134147. The reversal of 1215365134096 is 6904315635121.

The square root of 1215365134096 is 1102436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 348529652496 + 866835481600 = 590364^2 + 931040^2 .

It is a super-2 number, since 2×1215365134096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2332754316 + ... + 2332754836.

Almost surely, 2^{1215365134096} is an apocalyptic number.

1215365134096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1215365134096 is the 1102436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1215365134096

1215365134096 is an abundant number, since it is smaller than the sum of its proper divisors (1251173650437).

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

1215365134096 is an frugal number, since it uses more digits than its factorization.

1215365134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 1215365134096 in words is "one trillion, two hundred fifteen billion, three hundred sixty-five million, one hundred thirty-four thousand, ninety-six".