201220312332000 has 384 divisors, whose sum is σ = 711508001218560. Its totient is φ = 49419328358400.

The previous prime is 201220312331933. The next prime is 201220312332043. The reversal of 201220312332000 is 233213022102.

It is a happy number.

It is a super-2 number, since 2×201220312332000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67652161 + ... + 70563839.

It is an arithmetic number, because the mean of its divisors is an integer number (1852885419840).

Almost surely, 2^{201220312332000} is an apocalyptic number.

201220312332000 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 201220312332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355754000609280).

201220312332000 is an abundant number, since it is smaller than the sum of its proper divisors (510287688886560).

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

201220312332000 is a wasteful number, since it uses less digits than its factorization.

201220312332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912163 (or 2912145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201220312332000 its reverse (233213022102), we get a palindrome (201453525354102).

The spelling of 201220312332000 in words is "two hundred one trillion, two hundred twenty billion, three hundred twelve million, three hundred thirty-two thousand".