126807120 has 240 divisors, whose sum is σ = 482594112. Its totient is φ = 30689280.

The previous prime is 126807089. The next prime is 126807157. The reversal of 126807120 is 21708621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213544 + ... + 214136.

Almost surely, 2^126807120 is an apocalyptic number.

126807120 is a gapful number since it is divisible by the number (10) 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 126807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

126807120 is an abundant number, since it is smaller than the sum of its proper divisors (355786992).

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

126807120 is a wasteful number, since it uses less digits than its factorization.

126807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 126807120 is about 11260.8667517203. The cubic root of 126807120 is about 502.3979743857.

The spelling of 126807120 in words is "one hundred twenty-six million, eight hundred seven thousand, one hundred twenty".