1172501274672 has 640 divisors, whose sum is σ = 4487932753920. Its totient is φ = 284265676800.

The previous prime is 1172501274661. The next prime is 1172501274727. The reversal of 1172501274672 is 2764721052711.

It is a happy number.

1172501274672 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 501 + 2 + 74 + 6 + 72 = 666.

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, 28716672 + ... + 28757472.

It is an arithmetic number, because the mean of its divisors is an integer number (7012394928).

Almost surely, 2^{1172501274672} is an apocalyptic number.

1172501274672 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 1172501274672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243966376960).

1172501274672 is an abundant number, since it is smaller than the sum of its proper divisors (3315431479248).

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

1172501274672 is a wasteful number, since it uses less digits than its factorization.

1172501274672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40898 (or 40886 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 1172501274672 in words is "one trillion, one hundred seventy-two billion, five hundred one million, two hundred seventy-four thousand, six hundred seventy-two".