122103022111200 has 432 divisors, whose sum is σ = 463999421667600. Its totient is φ = 30035827261440.

The previous prime is 122103022111159. The next prime is 122103022111237. The reversal of 122103022111200 is 2111220301221.

122103022111200 is a `hidden beast` number, since 1 + 2 + 210 + 30 + 221 + 1 + 1 + 200 = 666.

It is a super-2 number, since 2×122103022111200² (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 71 ways as a sum of consecutive naturals, for example, 138368976 + ... + 139248624.

Almost surely, 2^{122103022111200} is an apocalyptic number.

122103022111200 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 122103022111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231999710833800).

122103022111200 is an abundant number, since it is smaller than the sum of its proper divisors (341896399556400).

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

122103022111200 is a wasteful number, since it uses less digits than its factorization.

122103022111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881171 (or 881155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122103022111200 its reverse (2111220301221), we get a palindrome (124214242412421).

The spelling of 122103022111200 in words is "one hundred twenty-two trillion, one hundred three billion, twenty-two million, one hundred eleven thousand, two hundred".