122333100 has 144 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 31138560.

The previous prime is 122333093. The next prime is 122333111. The reversal of 122333100 is 1333221.

It is a super-2 number, since 2×122333100² = 29930774711220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122333100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143247 + ... + 1143353.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^122333100 is an apocalyptic number.

122333100 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 122333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

122333100 is an abundant number, since it is smaller than the sum of its proper divisors (248143188).

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

122333100 is a wasteful number, since it uses less digits than its factorization.

122333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 122333100 is about 11060.4294672495. The cubic root of 122333100 is about 496.4185408864.

Adding to 122333100 its reverse (1333221), we get a palindrome (123666321).

The spelling of 122333100 in words is "one hundred twenty-two million, three hundred thirty-three thousand, one hundred".