202211121221120 has 160 divisors (see below), whose sum is σ = 534145188921696. Its totient is φ = 72803282944000.

The previous prime is 202211121221093. The next prime is 202211121221173. The reversal of 202211121221120 is 21122121112202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202211121221092 and 202211121221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32704319 + ... + 38392638.

Almost surely, 2^{202211121221120} is an apocalyptic number.

202211121221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211121221120 is an abundant number, since it is smaller than the sum of its proper divisors (331934067700576).

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

202211121221120 is a wasteful number, since it uses less digits than its factorization.

202211121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71097092 (or 71097076 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202211121221120 its reverse (21122121112202), we get a palindrome (223333242333322).

The spelling of 202211121221120 in words is "two hundred two trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".