126013291800 has 192 divisors, whose sum is σ = 432516067200. Its totient is φ = 30092620800.

The previous prime is 126013291799. The next prime is 126013291801. The reversal of 126013291800 is 8192310621.

It is an interprime number because it is at equal distance from previous prime (126013291799) and next prime (126013291801).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126013291801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299716 + ... + 584684.

It is an arithmetic number, because the mean of its divisors is an integer number (2252687850).

Almost surely, 2^126013291800 is an apocalyptic number.

126013291800 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 126013291800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216258033600).

126013291800 is an abundant number, since it is smaller than the sum of its proper divisors (306502775400).

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

126013291800 is a wasteful number, since it uses less digits than its factorization.

126013291800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285066 (or 285057 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 126013291800 in words is "one hundred twenty-six billion, thirteen million, two hundred ninety-one thousand, eight hundred".