201126094200 has 576 divisors, whose sum is σ = 720673873920. Its totient is φ = 52104384000.

The previous prime is 201126094187. The next prime is 201126094217. The reversal of 201126094200 is 2490621102.

201126094200 is a `hidden beast` number, since 2 + 0 + 1 + 12 + 609 + 42 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 436281970 + ... + 436282430.

It is an arithmetic number, because the mean of its divisors is an integer number (1251169920).

Almost surely, 2^201126094200 is an apocalyptic number.

201126094200 is a gapful number since it is divisible by the number (20) 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 201126094200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360336936960).

201126094200 is an abundant number, since it is smaller than the sum of its proper divisors (519547779720).

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

201126094200 is a wasteful number, since it uses less digits than its factorization.

201126094200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 201126094200 in words is "two hundred one billion, one hundred twenty-six million, ninety-four thousand, two hundred".