202222012011000 has 512 divisors, whose sum is σ = 657127719705600. Its totient is φ = 51744426240000.

The previous prime is 202222012010947. The next prime is 202222012011017. The reversal of 202222012011000 is 110210222202.

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, 1414335514 + ... + 1414478486.

It is an arithmetic number, because the mean of its divisors is an integer number (1283452577550).

Almost surely, 2^{202222012011000} is an apocalyptic number.

202222012011000 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 202222012011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328563859852800).

202222012011000 is an abundant number, since it is smaller than the sum of its proper divisors (454905707694600).

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

202222012011000 is a wasteful number, since it uses less digits than its factorization.

202222012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143248 (or 143234 counting only the distinct ones).

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

Adding to 202222012011000 its reverse (110210222202), we get a palindrome (202332222233202).

The spelling of 202222012011000 in words is "two hundred two trillion, two hundred twenty-two billion, twelve million, eleven thousand".