122112333013230 has 160 divisors (see below), whose sum is σ = 375276599248320. Its totient is φ = 27909645327360.

The previous prime is 122112333013219. The next prime is 122112333013277. The reversal of 122112333013230 is 32310333211221.

122112333013230 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 2 + 3 + 330 + 1 + 323 + 0 = 666.

It is a super-2 number, since 2×122112333013230² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122112333013194 and 122112333013203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91126470 + ... + 92456790.

It is an arithmetic number, because the mean of its divisors is an integer number (2345478745302).

Almost surely, 2^{122112333013230} is an apocalyptic number.

122112333013230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112333013230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187638299624160).

122112333013230 is an abundant number, since it is smaller than the sum of its proper divisors (253164266235090).

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

122112333013230 is a wasteful number, since it uses less digits than its factorization.

122112333013230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346536 (or 1346527 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122112333013230 its reverse (32310333211221), we get a palindrome (154422666224451).

The spelling of 122112333013230 in words is "one hundred twenty-two trillion, one hundred twelve billion, three hundred thirty-three million, thirteen thousand, two hundred thirty".