126406512 has 30 divisors (see below), whose sum is σ = 353763072. Its totient is φ = 42135456.

The previous prime is 126406481. The next prime is 126406517. The reversal of 126406512 is 215604621.

126406512 = T₄₈ + T₄₉ + ... + T₉₁₁.

126406512 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×126406512² = 31957212552012288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126406517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438768 + ... + 439055.

Almost surely, 2^126406512 is an apocalyptic number.

126406512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126406512 is an abundant number, since it is smaller than the sum of its proper divisors (227356560).

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

126406512 is a wasteful number, since it uses less digits than its factorization.

126406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877837 (or 877828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126406512 is about 11243.0650625174. The cubic root of 126406512 is about 501.8683591058.

The spelling of 126406512 in words is "one hundred twenty-six million, four hundred six thousand, five hundred twelve".