122031331312000 has 1024 divisors, whose sum is σ = 352182612787200. Its totient is φ = 41586048000000.

The previous prime is 122031331311983. The next prime is 122031331312021. The reversal of 122031331312000 is 213133130221.

It is a super-2 number, since 2×122031331312000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193393551685 + ... + 193393552315.

It is an arithmetic number, because the mean of its divisors is an integer number (343928332800).

Almost surely, 2^{122031331312000} is an apocalyptic number.

122031331312000 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 122031331312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176091306393600).

122031331312000 is an abundant number, since it is smaller than the sum of its proper divisors (230151281475200).

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

122031331312000 is a wasteful number, since it uses less digits than its factorization.

122031331312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122031331312000 its reverse (213133130221), we get a palindrome (122244464442221).

The spelling of 122031331312000 in words is "one hundred twenty-two trillion, thirty-one billion, three hundred thirty-one million, three hundred twelve thousand".