126012201700 has 144 divisors (see below), whose sum is σ = 342388335744. Its totient is φ = 39107404800.

The previous prime is 126012201673. The next prime is 126012201703. The reversal of 126012201700 is 7102210621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (126012201703) 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, 1758982 + ... + 1829218.

It is an arithmetic number, because the mean of its divisors is an integer number (2377696776).

Almost surely, 2^126012201700 is an apocalyptic number.

126012201700 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 126012201700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171194167872).

126012201700 is an abundant number, since it is smaller than the sum of its proper divisors (216376134044).

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

126012201700 is a wasteful number, since it uses less digits than its factorization.

126012201700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70502 (or 70495 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 126012201700 in words is "one hundred twenty-six billion, twelve million, two hundred one thousand, seven hundred".