21230142212400 has 240 divisors, whose sum is σ = 74497549196928. Its totient is φ = 5125344768000.

The previous prime is 21230142212359. The next prime is 21230142212437. The reversal of 21230142212400 is 421224103212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 155614 + ... + 6518013.

Almost surely, 2^{21230142212400} is an apocalyptic number.

21230142212400 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 21230142212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37248774598464).

21230142212400 is an abundant number, since it is smaller than the sum of its proper divisors (53267406984528).

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

21230142212400 is a wasteful number, since it uses less digits than its factorization.

21230142212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673900 (or 6673889 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21230142212400 its reverse (421224103212), we get a palindrome (21651366315612).

The spelling of 21230142212400 in words is "twenty-one trillion, two hundred thirty billion, one hundred forty-two million, two hundred twelve thousand, four hundred".