126201973500 has 288 divisors, whose sum is σ = 428704436160. Its totient is φ = 31136256000.

The previous prime is 126201973421. The next prime is 126201973519. The reversal of 126201973500 is 5379102621.

126201973500 is a `hidden beast` number, since 1 + 2 + 62 + 0 + 1 + 97 + 3 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4499520 + ... + 4527480.

It is an arithmetic number, because the mean of its divisors is an integer number (1488557070).

Almost surely, 2^126201973500 is an apocalyptic number.

126201973500 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 126201973500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214352218080).

126201973500 is an abundant number, since it is smaller than the sum of its proper divisors (302502462660).

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

126201973500 is a wasteful number, since it uses less digits than its factorization.

126201973500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28062 (or 28047 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 126201973500 in words is "one hundred twenty-six billion, two hundred one million, nine hundred seventy-three thousand, five hundred".