122111122201200 has 240 divisors, whose sum is σ = 474136519392000. Its totient is φ = 29602696262400.

The previous prime is 122111122201199. The next prime is 122111122201207. The reversal of 122111122201200 is 2102221111221.

122111122201200 is a `hidden beast` number, since 1 + 2 + 211 + 112 + 220 + 120 + 0 = 666.

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

It is a super-2 number, since 2×122111122201200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111122201207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513816900 + ... + 514054499.

It is an arithmetic number, because the mean of its divisors is an integer number (1975568830800).

Almost surely, 2^{122111122201200} is an apocalyptic number.

122111122201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111122201200 is an abundant number, since it is smaller than the sum of its proper divisors (352025397190800).

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

122111122201200 is a wasteful number, since it uses less digits than its factorization.

122111122201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027871437 (or 1027871420 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122111122201200 its reverse (2102221111221), we get a palindrome (124213343312421).

The spelling of 122111122201200 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred one thousand, two hundred".