122211121023000 has 384 divisors, whose sum is σ = 445896549820800. Its totient is φ = 30097769856000.

The previous prime is 122211121022933. The next prime is 122211121023053. The reversal of 122211121023000 is 320121112221.

122211121023000 is a `hidden beast` number, since 1 + 2 + 221 + 1 + 1 + 210 + 230 + 0 + 0 = 666.

122211121023000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 4176171 + ... + 16182170.

It is an arithmetic number, because the mean of its divisors is an integer number (1161188931825).

Almost surely, 2^{122211121023000} is an apocalyptic number.

122211121023000 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 122211121023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222948274910400).

122211121023000 is an abundant number, since it is smaller than the sum of its proper divisors (323685428797800).

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

122211121023000 is a wasteful number, since it uses less digits than its factorization.

122211121023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20358420 (or 20358403 counting only the distinct ones).

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

Adding to 122211121023000 its reverse (320121112221), we get a palindrome (122531242135221).

The spelling of 122211121023000 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty-one million, twenty-three thousand".