122112220201200 has 90 divisors (see below), whose sum is σ = 423763324171824. Its totient is φ = 32563258719360.

The previous prime is 122112220201189. The next prime is 122112220201249. The reversal of 122112220201200 is 2102022211221.

It is a happy number.

122112220201200 is a `hidden beast` number, since 1 + 221 + 1 + 2 + 220 + 20 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×122112220201200² (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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16960026984 + ... + 16960034183.

Almost surely, 2^{122112220201200} is an apocalyptic number.

122112220201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112220201200 is an abundant number, since it is smaller than the sum of its proper divisors (301651103970624).

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

122112220201200 is a wasteful number, since it uses less digits than its factorization.

122112220201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33920061191 (or 33920061177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112220201200 its reverse (2102022211221), we get a palindrome (124214242412421).

The spelling of 122112220201200 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, two hundred one thousand, two hundred".