126077120 has 56 divisors (see below), whose sum is σ = 323325744. Its totient is φ = 46550016.

The previous prime is 126077101. The next prime is 126077131. The reversal of 126077120 is 21770621.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 126077120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10994 + ... + 19313.

It is an arithmetic number, because the mean of its divisors is an integer number (5773674).

Almost surely, 2^126077120 is an apocalyptic number.

126077120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126077120 is an abundant number, since it is smaller than the sum of its proper divisors (197248624).

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

126077120 is a wasteful number, since it uses less digits than its factorization.

126077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30337 (or 30327 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 126077120 is about 11228.4068326722. The cubic root of 126077120 is about 501.4320545239.

The spelling of 126077120 in words is "one hundred twenty-six million, seventy-seven thousand, one hundred twenty".