21124476000 has 576 divisors, whose sum is σ = 78874338816. Its totient is φ = 5552064000.

The previous prime is 21124475993. The next prime is 21124476011. The reversal of 21124476000 is 67442112.

21124476000 is a `hidden beast` number, since 2 + 1 + 12 + 4 + 47 + 600 + 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 95 ways as a sum of consecutive naturals, for example, 100115895 + ... + 100116105.

It is an arithmetic number, because the mean of its divisors is an integer number (136934616).

Almost surely, 2^21124476000 is an apocalyptic number.

21124476000 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 21124476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39437169408).

21124476000 is an abundant number, since it is smaller than the sum of its proper divisors (57749862816).

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

21124476000 is a wasteful number, since it uses less digits than its factorization.

21124476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 21124476000 in words is "twenty-one billion, one hundred twenty-four million, four hundred seventy-six thousand".