21201200000088 has 128 divisors (see below), whose sum is σ = 56551737600000. Its totient is φ = 6612074739200.

The previous prime is 21201200000087. The next prime is 21201200000089. The reversal of 21201200000088 is 88000000210212.

It is an interprime number because it is at equal distance from previous prime (21201200000087) and next prime (21201200000089).

It is a super-2 number, since 2×21201200000088² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201200000087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95413 + ... + 6512411.

It is an arithmetic number, because the mean of its divisors is an integer number (441810450000).

Almost surely, 2^{21201200000088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201200000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28275868800000).

21201200000088 is an abundant number, since it is smaller than the sum of its proper divisors (35350537599912).

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

21201200000088 is a wasteful number, since it uses less digits than its factorization.

21201200000088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417185 (or 6417181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 21201200000088 in words is "twenty-one trillion, two hundred one billion, two hundred million, eighty-eight", and thus it is an aban number.