21142031200 has 144 divisors (see below), whose sum is σ = 52168536000. Its totient is φ = 8366400000.

The previous prime is 21142031189. The next prime is 21142031359. The reversal of 21142031200 is 213024112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42368551 + ... + 42369049.

It is an arithmetic number, because the mean of its divisors is an integer number (362281500).

Almost surely, 2^21142031200 is an apocalyptic number.

21142031200 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 21142031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084268000).

21142031200 is an abundant number, since it is smaller than the sum of its proper divisors (31026504800).

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

21142031200 is a wasteful number, since it uses less digits than its factorization.

21142031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21142031200 its reverse (213024112), we get a palindrome (21355055312).

The spelling of 21142031200 in words is "twenty-one billion, one hundred forty-two million, thirty-one thousand, two hundred".