21142113021200 has 240 divisors, whose sum is σ = 52379130021120. Its totient is φ = 8195848704000.

The previous prime is 21142113021119. The next prime is 21142113021217. The reversal of 21142113021200 is 212031124112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542199946 + ... + 1542213654.

It is an arithmetic number, because the mean of its divisors is an integer number (218246375088).

Almost surely, 2^{21142113021200} is an apocalyptic number.

21142113021200 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 21142113021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26189565010560).

21142113021200 is an abundant number, since it is smaller than the sum of its proper divisors (31237016999920).

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

21142113021200 is a wasteful number, since it uses less digits than its factorization.

21142113021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21142113021200 its reverse (212031124112), we get a palindrome (21354144145312).

The spelling of 21142113021200 in words is "twenty-one trillion, one hundred forty-two billion, one hundred thirteen million, twenty-one thousand, two hundred".