12955690272 has 96 divisors (see below), whose sum is σ = 38935596672. Its totient is φ = 3695099904.

The previous prime is 12955690271. The next prime is 12955690277. The reversal of 12955690272 is 27209655921.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12955690271) 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, 371038 + ... + 404450.

It is an arithmetic number, because the mean of its divisors is an integer number (405579132).

Almost surely, 2^12955690272 is an apocalyptic number.

12955690272 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 12955690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19467798336).

12955690272 is an abundant number, since it is smaller than the sum of its proper divisors (25979906400).

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

12955690272 is a wasteful number, since it uses less digits than its factorization.

12955690272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34010 (or 34002 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 12955690272 in words is "twelve billion, nine hundred fifty-five million, six hundred ninety thousand, two hundred seventy-two".