126078120 has 384 divisors, whose sum is σ = 518918400. Its totient is φ = 26873856.

The previous prime is 126078089. The next prime is 126078151. The reversal of 126078120 is 21870621.

It is an interprime number because it is at equal distance from previous prime (126078089) and next prime (126078151).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1156626 + ... + 1156734.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^126078120 is an apocalyptic number.

126078120 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 126078120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

126078120 is an abundant number, since it is smaller than the sum of its proper divisors (392840280).

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

126078120 is a wasteful number, since it uses less digits than its factorization.

126078120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

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

The square root of 126078120 is about 11228.4513624987. The cubic root of 126078120 is about 501.4333802488.

The spelling of 126078120 in words is "one hundred twenty-six million, seventy-eight thousand, one hundred twenty".