12962280 has 64 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3421440.

The previous prime is 12962251. The next prime is 12962281. The reversal of 12962280 is 8226921.

12962280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12962281) 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, 12585 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 2^12962280 is an apocalyptic number.

12962280 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 12962280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12962280 is an abundant number, since it is smaller than the sum of its proper divisors (26320920).

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

12962280 is a wasteful number, since it uses less digits than its factorization.

12962280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12962280 is about 3600.3166527404. The cubic root of 12962280 is about 234.9058321967.

The spelling of 12962280 in words is "twelve million, nine hundred sixty-two thousand, two hundred eighty".