126861312 has 120 divisors (see below), whose sum is σ = 353883600. Its totient is φ = 40370176.

The previous prime is 126861263. The next prime is 126861359. The reversal of 126861312 is 213168621.

It is a super-2 number, since 2×126861312² = 32187584964722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 126861312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1425364 + ... + 1425452.

It is an arithmetic number, because the mean of its divisors is an integer number (2949030).

Almost surely, 2^126861312 is an apocalyptic number.

126861312 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 126861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176941800).

126861312 is an abundant number, since it is smaller than the sum of its proper divisors (227022288).

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

126861312 is an frugal number, since it uses more digits than its factorization.

126861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

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

The square root of 126861312 is about 11263.2727037926. The cubic root of 126861312 is about 502.4695320751.

The spelling of 126861312 in words is "one hundred twenty-six million, eight hundred sixty-one thousand, three hundred twelve".