126993312 has 48 divisors (see below), whose sum is σ = 370399680. Its totient is φ = 42330816.

The previous prime is 126993289. The next prime is 126993343. The reversal of 126993312 is 213399621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126993312² = 32254602585458688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 72628 + ... + 74355.

It is an arithmetic number, because the mean of its divisors is an integer number (7716660).

Almost surely, 2^126993312 is an apocalyptic number.

126993312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126993312 is an abundant number, since it is smaller than the sum of its proper divisors (243406368).

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

126993312 is a wasteful number, since it uses less digits than its factorization.

126993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147002 (or 146988 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 126993312 is about 11269.1309336612. The cubic root of 126993312 is about 502.6437459109.

The spelling of 126993312 in words is "one hundred twenty-six million, nine hundred ninety-three thousand, three hundred twelve".