12406770 has 120 divisors (see below), whose sum is σ = 36106884. Its totient is φ = 3055104.

The previous prime is 12406769. The next prime is 12406777. The reversal of 12406770 is 7760421.

It can be written as a sum of positive squares in 6 ways, for example, as 10093329 + 2313441 = 3177^2 + 1521^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12406777) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234064 + ... + 234116.

It is a vampire number, since it can be written as 2601 ⋅ 4770 (with its own digits).

Almost surely, 2^12406770 is an apocalyptic number.

12406770 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 12406770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053442).

12406770 is an abundant number, since it is smaller than the sum of its proper divisors (23700114).

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

12406770 is a wasteful number, since it uses less digits than its factorization.

12406770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12406770 is about 3522.3245165657. The cubic root of 12406770 is about 231.5010208210.

The spelling of 12406770 in words is "twelve million, four hundred six thousand, seven hundred seventy".