21142999987200 has 3960 divisors, whose sum is σ = 102914781907392. Its totient is φ = 4198532382720.

The previous prime is 21142999987199. The next prime is 21142999987229. The reversal of 21142999987200 is 278999924112.

21142999987200 is a `hidden beast` number, since 2 + 11 + 429 + 99 + 98 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1243705881592 + ... + 1243705881608.

Almost surely, 2^{21142999987200} is an apocalyptic number.

21142999987200 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 21142999987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51457390953696).

21142999987200 is an abundant number, since it is smaller than the sum of its proper divisors (81771781920192).

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

21142999987200 is an frugal number, since it uses more digits than its factorization.

21142999987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 21142999987200 in words is "twenty-one trillion, one hundred forty-two billion, nine hundred ninety-nine million, nine hundred eighty-seven thousand, two hundred".