122131100 has 72 divisors (see below), whose sum is σ = 326208288. Its totient is φ = 38649600.

The previous prime is 122131091. The next prime is 122131123. The reversal of 122131100 is 1131221.

It is a congruent number.

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, 2390 + ... + 15810.

Almost surely, 2^122131100 is an apocalyptic number.

122131100 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 122131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163104144).

122131100 is an abundant number, since it is smaller than the sum of its proper divisors (204077188).

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

122131100 is a wasteful number, since it uses less digits than its factorization.

122131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13455 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 122131100 is about 11051.2940418758. The cubic root of 122131100 is about 496.1451567433.

Adding to 122131100 its reverse (1131221), we get a palindrome (123262321).

The spelling of 122131100 in words is "one hundred twenty-two million, one hundred thirty-one thousand, one hundred".