12122133120 has 384 divisors, whose sum is σ = 43042596480. Its totient is φ = 3142656000.

The previous prime is 12122133113. The next prime is 12122133131. The reversal of 12122133120 is 2133122121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12122133120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122133093 and 12122133102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38977765 + ... + 38978075.

It is an arithmetic number, because the mean of its divisors is an integer number (112090095).

Almost surely, 2^12122133120 is an apocalyptic number.

12122133120 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 12122133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521298240).

12122133120 is an abundant number, since it is smaller than the sum of its proper divisors (30920463360).

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

12122133120 is a wasteful number, since it uses less digits than its factorization.

12122133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122133120 its reverse (2133122121), we get a palindrome (14255255241).

The spelling of 12122133120 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".