221122212001120 has 96 divisors (see below), whose sum is σ = 545136131090880. Its totient is φ = 84599896381440.

The previous prime is 221122212001079. The next prime is 221122212001121. The reversal of 221122212001120 is 21100212221122.

It is a super-3 number, since 3×221122212001120³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122212001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91771146 + ... + 94149814.

It is an arithmetic number, because the mean of its divisors is an integer number (5678501365530).

Almost surely, 2^{221122212001120} is an apocalyptic number.

221122212001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122212001120 is an abundant number, since it is smaller than the sum of its proper divisors (324013919089760).

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

221122212001120 is a wasteful number, since it uses less digits than its factorization.

221122212001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403968 (or 2403960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122212001120 its reverse (21100212221122), we get a palindrome (242222424222242).

The spelling of 221122212001120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, one thousand, one hundred twenty".