122101321122000 has 1920 divisors, whose sum is σ = 488430645580800. Its totient is φ = 28165294080000.

The previous prime is 122101321121999. The next prime is 122101321122017. The reversal of 122101321122000 is 221123101221.

122101321122000 is a `hidden beast` number, since 1 + 22 + 101 + 321 + 1 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88930313314 + ... + 88930314686.

It is an arithmetic number, because the mean of its divisors is an integer number (254390961240).

Almost surely, 2^{122101321122000} is an apocalyptic number.

122101321122000 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 122101321122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244215322790400).

122101321122000 is an abundant number, since it is smaller than the sum of its proper divisors (366329324458800).

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

122101321122000 is a wasteful number, since it uses less digits than its factorization.

122101321122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122101321122000 its reverse (221123101221), we get a palindrome (122322444223221).

The spelling of 122101321122000 in words is "one hundred twenty-two trillion, one hundred one billion, three hundred twenty-one million, one hundred twenty-two thousand".