126506112 has 64 divisors (see below), whose sum is σ = 355816800. Its totient is φ = 39686144.

The previous prime is 126506101. The next prime is 126506119. The reversal of 126506112 is 211605621.

126506112 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (126506119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3162 + ... + 16217.

Almost surely, 2^126506112 is an apocalyptic number.

126506112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126506112 is an abundant number, since it is smaller than the sum of its proper divisors (229310688).

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

126506112 is a wasteful number, since it uses less digits than its factorization.

126506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 126506112 is about 11247.4935874621. The cubic root of 126506112 is about 502.0001375639. Note that the first 3 decimals are identical.

The spelling of 126506112 in words is "one hundred twenty-six million, five hundred six thousand, one hundred twelve".