21127113223920 has 600 divisors, whose sum is σ = 80992896747840. Its totient is φ = 5100249369600.

The previous prime is 21127113223907. The next prime is 21127113223991. The reversal of 21127113223920 is 2932231172112.

21127113223920 is a `hidden beast` number, since 2 + 1 + 1 + 271 + 132 + 239 + 20 = 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 119 ways as a sum of consecutive naturals, for example, 187338750 + ... + 187451490.

Almost surely, 2^{21127113223920} is an apocalyptic number.

21127113223920 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 21127113223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40496448373920).

21127113223920 is an abundant number, since it is smaller than the sum of its proper divisors (59865783523920).

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

21127113223920 is a wasteful number, since it uses less digits than its factorization.

21127113223920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113027 (or 113001 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21127113223920 in words is "twenty-one trillion, one hundred twenty-seven billion, one hundred thirteen million, two hundred twenty-three thousand, nine hundred twenty".