12701952 has 108 divisors (see below), whose sum is σ = 37865100. Its totient is φ = 4091904.

The previous prime is 12701951. The next prime is 12701963. The reversal of 12701952 is 25910721.

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 6230016 = 2544^2 + 2496^2 .

It is a super-2 number, since 2×12701952² = 322679169220608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12701951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85174 + ... + 85322.

Almost surely, 2^12701952 is an apocalyptic number.

12701952 is a gapful number since it is divisible by the number (12) 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 12701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932550).

12701952 is an abundant number, since it is smaller than the sum of its proper divisors (25163148).

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

12701952 is a wasteful number, since it uses less digits than its factorization.

12701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12701952 is about 3563.9797979225. The cubic root of 12701952 is about 233.3226081238.

The spelling of 12701952 in words is "twelve million, seven hundred one thousand, nine hundred fifty-two".