21221001312000 has 1152 divisors, whose sum is σ = 83115651440640. Its totient is φ = 4697550028800.

The previous prime is 21221001311969. The next prime is 21221001312019. The reversal of 21221001312000 is 21310012212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5693854137 + ... + 5693857863.

Almost surely, 2^{21221001312000} is an apocalyptic number.

21221001312000 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 21221001312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41557825720320).

21221001312000 is an abundant number, since it is smaller than the sum of its proper divisors (61894650128640).

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

21221001312000 is a wasteful number, since it uses less digits than its factorization.

21221001312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21221001312000 its reverse (21310012212), we get a palindrome (21242311324212).

The spelling of 21221001312000 in words is "twenty-one trillion, two hundred twenty-one billion, one million, three hundred twelve thousand".