21126252000 has 1152 divisors, whose sum is σ = 88914309120. Its totient is φ = 4354560000.

The previous prime is 21126251989. The next prime is 21126252011. The reversal of 21126252000 is 25262112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21126251989) and next prime (21126252011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346331970 + ... + 346332030.

It is an arithmetic number, because the mean of its divisors is an integer number (77182560).

Almost surely, 2^21126252000 is an apocalyptic number.

21126252000 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 21126252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

21126252000 is an abundant number, since it is smaller than the sum of its proper divisors (67788057120).

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

21126252000 is a wasteful number, since it uses less digits than its factorization.

21126252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 21126252000 in words is "twenty-one billion, one hundred twenty-six million, two hundred fifty-two thousand".