126924304500 has 288 divisors, whose sum is σ = 460269298944. Its totient is φ = 28842336000.

The previous prime is 126924304439. The next prime is 126924304523. The reversal of 126924304500 is 5403429621.

It is a happy number.

126924304500 is a `hidden beast` number, since 1 + 26 + 92 + 43 + 0 + 4 + 500 = 666.

It is a super-2 number, since 2×126924304500² (a number of 23 digits) contains 22 as substring.

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, 5437855 + ... + 5461145.

It is an arithmetic number, because the mean of its divisors is an integer number (1598157288).

Almost surely, 2^126924304500 is an apocalyptic number.

126924304500 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 126924304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230134649472).

126924304500 is an abundant number, since it is smaller than the sum of its proper divisors (333344994444).

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

126924304500 is a wasteful number, since it uses less digits than its factorization.

126924304500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23496 (or 23481 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 126924304500 in words is "one hundred twenty-six billion, nine hundred twenty-four million, three hundred four thousand, five hundred".