202200111120 has 240 divisors, whose sum is σ = 741114404928. Its totient is φ = 45459348480.

The previous prime is 202200111103. The next prime is 202200111131. The reversal of 202200111120 is 21111002202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×202200111120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202200111096 and 202200111105.

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 47 ways as a sum of consecutive naturals, for example, 576427 + ... + 858293.

Almost surely, 2^202200111120 is an apocalyptic number.

202200111120 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 202200111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370557202464).

202200111120 is an abundant number, since it is smaller than the sum of its proper divisors (538914293808).

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

202200111120 is a wasteful number, since it uses less digits than its factorization.

202200111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281958 (or 281945 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202200111120 its reverse (21111002202), we get a palindrome (223311113322).

The spelling of 202200111120 in words is "two hundred two billion, two hundred million, one hundred eleven thousand, one hundred twenty".