1205117260512 has 96 divisors (see below), whose sum is σ = 3451272209280. Its totient is φ = 365160107520.

The previous prime is 1205117260499. The next prime is 1205117260517. The reversal of 1205117260512 is 2150627115021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1205117260512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205117260517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17896218 + ... + 17963430.

It is an arithmetic number, because the mean of its divisors is an integer number (35950752180).

Almost surely, 2^{1205117260512} is an apocalyptic number.

1205117260512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205117260512 is an abundant number, since it is smaller than the sum of its proper divisors (2246154948768).

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

1205117260512 is a wasteful number, since it uses less digits than its factorization.

1205117260512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84216 (or 84208 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 1205117260512 in words is "one trillion, two hundred five billion, one hundred seventeen million, two hundred sixty thousand, five hundred twelve".