221202121120 has 48 divisors (see below), whose sum is σ = 523200125448. Its totient is φ = 88377548800.

The previous prime is 221202121103. The next prime is 221202121163. The reversal of 221202121120 is 21121202122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 201073321744 + 20128799376 = 448412^2 + 141876^2 .

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 = 221202121094 and 221202121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669481 + ... + 943720.

Almost surely, 2^221202121120 is an apocalyptic number.

221202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202121120 is an abundant number, since it is smaller than the sum of its proper divisors (301998004328).

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

221202121120 is a wasteful number, since it uses less digits than its factorization.

221202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614073 (or 1614065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221202121120 its reverse (21121202122), we get a palindrome (242323323242).

The spelling of 221202121120 in words is "two hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".