12962106 has 48 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 4267728.

The previous prime is 12962093. The next prime is 12962119. The reversal of 12962106 is 60126921.

12962106 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 an interprime number because it is at equal distance from previous prime (12962093) and next prime (12962119).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12962106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72325 + ... + 72503.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^12962106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12962106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

12962106 is an abundant number, since it is smaller than the sum of its proper divisors (16521894).

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

12962106 is a wasteful number, since it uses less digits than its factorization.

12962106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12962106 is about 3600.2924881182. The cubic root of 12962106 is about 234.9047811008.

The spelling of 12962106 in words is "twelve million, nine hundred sixty-two thousand, one hundred six".