12905970 has 128 divisors (see below), whose sum is σ = 39923712. Its totient is φ = 2592000.

The previous prime is 12905969. The next prime is 12905983. The reversal of 12905970 is 7950921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85395 + ... + 85545.

It is an arithmetic number, because the mean of its divisors is an integer number (311904).

Almost surely, 2^12905970 is an apocalyptic number.

12905970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12905970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19961856).

12905970 is an abundant number, since it is smaller than the sum of its proper divisors (27017742).

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

12905970 is a wasteful number, since it uses less digits than its factorization.

12905970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 12905970 is about 3592.4879958046. The cubic root of 12905970 is about 234.5651835893.

It can be divided in two parts, 1290 and 5970, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 12905970 in words is "twelve million, nine hundred five thousand, nine hundred seventy".