122311010100000 has 864 divisors, whose sum is σ = 429344893668096. Its totient is φ = 30380800000000.

The previous prime is 122311010099989. The next prime is 122311010100031. The reversal of 122311010100000 is 1010113221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52025098825 + ... + 52025101175.

It is an arithmetic number, because the mean of its divisors is an integer number (496926960264).

Almost surely, 2^{122311010100000} is an apocalyptic number.

122311010100000 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 122311010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214672446834048).

122311010100000 is an abundant number, since it is smaller than the sum of its proper divisors (307033883568096).

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

122311010100000 is an equidigital number, since it uses as much as digits as its factorization.

122311010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 122311010100000 its reverse (1010113221), we get a palindrome (122312020213221).

The spelling of 122311010100000 in words is "one hundred twenty-two trillion, three hundred eleven billion, ten million, one hundred thousand".