202212001122000 has 320 divisors, whose sum is σ = 661634382689280. Its totient is φ = 53126568768000.

The previous prime is 202212001121929. The next prime is 202212001122007. The reversal of 202212001122000 is 221100212202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212001122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108328579 + ... + 110179421.

It is an arithmetic number, because the mean of its divisors is an integer number (2067607445904).

Almost surely, 2^{202212001122000} is an apocalyptic number.

202212001122000 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 202212001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330817191344640).

202212001122000 is an abundant number, since it is smaller than the sum of its proper divisors (459422381567280).

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

202212001122000 is a wasteful number, since it uses less digits than its factorization.

202212001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851139 (or 1851123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202212001122000 its reverse (221100212202), we get a palindrome (202433101334202).

The spelling of 202212001122000 in words is "two hundred two trillion, two hundred twelve billion, one million, one hundred twenty-two thousand".