126101253600 has 2016 divisors, whose sum is σ = 590182225920. Its totient is φ = 25619742720.

The previous prime is 126101253587. The next prime is 126101253613. The reversal of 126101253600 is 6352101621.

126101253600 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 0 + 1 + 2 + 53 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (126101253587) and next prime (126101253613).

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1596218361 + ... + 1596218439.

It is an arithmetic number, because the mean of its divisors is an integer number (292749120).

Almost surely, 2^126101253600 is an apocalyptic number.

126101253600 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 126101253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295091112960).

126101253600 is an abundant number, since it is smaller than the sum of its proper divisors (464080972320).

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

126101253600 is a wasteful number, since it uses less digits than its factorization.

126101253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 126101253600 in words is "one hundred twenty-six billion, one hundred one million, two hundred fifty-three thousand, six hundred".