1012115220480 has 2304 divisors, whose sum is σ = 4739328921600. Its totient is φ = 193651015680.

The previous prime is 1012115220433. The next prime is 1012115220533. The reversal of 1012115220480 is 840225112101.

1012115220480 is a `hidden beast` number, since 1 + 0 + 12 + 1 + 152 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1012115220480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4419717006 + ... + 4419717234.

It is an arithmetic number, because the mean of its divisors is an integer number (2057000400).

Almost surely, 2^{1012115220480} is an apocalyptic number.

1012115220480 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 1012115220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369664460800).

1012115220480 is an abundant number, since it is smaller than the sum of its proper divisors (3727213701120).

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

1012115220480 is a wasteful number, since it uses less digits than its factorization.

1012115220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 1012115220480 in words is "one trillion, twelve billion, one hundred fifteen million, two hundred twenty thousand, four hundred eighty".