201220111122000 has 160 divisors (see below), whose sum is σ = 659729124812160. Its totient is φ = 52749226777600.

The previous prime is 201220111121891. The next prime is 201220111122029. The reversal of 201220111122000 is 221111022102.

201220111122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201220111122000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283855197 + ... + 284563196.

It is an arithmetic number, because the mean of its divisors is an integer number (4123307030076).

Almost surely, 2^{201220111122000} is an apocalyptic number.

201220111122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220111122000 is an abundant number, since it is smaller than the sum of its proper divisors (458509013690160).

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

201220111122000 is a wasteful number, since it uses less digits than its factorization.

201220111122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568418478 (or 568418462 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201220111122000 its reverse (221111022102), we get a palindrome (201441222144102).

The spelling of 201220111122000 in words is "two hundred one trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand".