122131300 has 36 divisors (see below), whose sum is σ = 267076656. Its totient is φ = 48474400.

The previous prime is 122131279. The next prime is 122131307. The reversal of 122131300 is 3131221.

It is a super-3 number, since 3×122131300³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122131307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8439 + ... + 17761.

It is an arithmetic number, because the mean of its divisors is an integer number (7418796).

Almost surely, 2^122131300 is an apocalyptic number.

122131300 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 122131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133538328).

122131300 is an abundant number, since it is smaller than the sum of its proper divisors (144945356).

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

122131300 is a wasteful number, since it uses less digits than its factorization.

122131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 122131300 is about 11051.3030905862. The cubic root of 122131300 is about 496.1454275697.

Adding to 122131300 its reverse (3131221), we get a palindrome (125262521).

It can be divided in two parts, 12 and 2131300, that added together give a palindrome (2131312).

The spelling of 122131300 in words is "one hundred twenty-two million, one hundred thirty-one thousand, three hundred".