13212960 has 48 divisors (see below), whose sum is σ = 41622336. Its totient is φ = 3523328.

The previous prime is 13212937. The next prime is 13212967. The reversal of 13212960 is 6921231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13212960.

It is not an unprimeable number, because it can be changed into a prime (13212967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13284 + ... + 14243.

It is an arithmetic number, because the mean of its divisors is an integer number (867132).

Almost surely, 2^13212960 is an apocalyptic number.

13212960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212960 is an abundant number, since it is smaller than the sum of its proper divisors (28409376).

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

13212960 is a wasteful number, since it uses less digits than its factorization.

13212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27545 (or 27537 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13212960 is about 3634.9635486480. The cubic root of 13212960 is about 236.4104701888.

The spelling of 13212960 in words is "thirteen million, two hundred twelve thousand, nine hundred sixty".