21132012000 has 192 divisors, whose sum is σ = 75522440448. Its totient is φ = 5122880000.

The previous prime is 21132011963. The next prime is 21132012037. The reversal of 21132012000 is 21023112.

It is an interprime number because it is at equal distance from previous prime (21132011963) and next prime (21132012037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51955 + ... + 212045.

It is an arithmetic number, because the mean of its divisors is an integer number (393346044).

Almost surely, 2^21132012000 is an apocalyptic number.

21132012000 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 21132012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37761220224).

21132012000 is an abundant number, since it is smaller than the sum of its proper divisors (54390428448).

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

21132012000 is a wasteful number, since it uses less digits than its factorization.

21132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160130 (or 160112 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21132012000 its reverse (21023112), we get a palindrome (21153035112).

The spelling of 21132012000 in words is "twenty-one billion, one hundred thirty-two million, twelve thousand".