202200222001120 has 288 divisors, whose sum is σ = 563877289575936. Its totient is φ = 68305568486400.

The previous prime is 202200222001111. The next prime is 202200222001123. The reversal of 202200222001120 is 21100222002202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202200222001094 and 202200222001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202200222001123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874365829 + ... + 874597051.

It is an arithmetic number, because the mean of its divisors is an integer number (1957907255472).

Almost surely, 2^{202200222001120} is an apocalyptic number.

202200222001120 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 202200222001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281938644787968).

202200222001120 is an abundant number, since it is smaller than the sum of its proper divisors (361677067574816).

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

202200222001120 is a wasteful number, since it uses less digits than its factorization.

202200222001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232894 (or 232879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202200222001120 its reverse (21100222002202), we get a palindrome (223300444003322).

The spelling of 202200222001120 in words is "two hundred two trillion, two hundred billion, two hundred twenty-two million, one thousand, one hundred twenty".