122112011201200 has 120 divisors (see below), whose sum is σ = 298311468759216. Its totient is φ = 48023454336000.

The previous prime is 122112011201189. The next prime is 122112011201237. The reversal of 122112011201200 is 2102110211221.

It is a super-2 number, since 2×122112011201200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55852635 + ... + 57997765.

Almost surely, 2^{122112011201200} is an apocalyptic number.

122112011201200 is a gapful number since it is divisible by the number (10) 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 122112011201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149155734379608).

122112011201200 is an abundant number, since it is smaller than the sum of its proper divisors (176199457558016).

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

122112011201200 is a wasteful number, since it uses less digits than its factorization.

122112011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147543 (or 2147532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112011201200 its reverse (2102110211221), we get a palindrome (124214121412421).

The spelling of 122112011201200 in words is "one hundred twenty-two trillion, one hundred twelve billion, eleven million, two hundred one thousand, two hundred".