122122101022000 has 160 divisors (see below), whose sum is σ = 297421067833344. Its totient is φ = 48497224032000.

The previous prime is 122122101021953. The next prime is 122122101022079. The reversal of 122122101022000 is 220101221221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274659865 + ... + 275104135.

Almost surely, 2^{122122101022000} is an apocalyptic number.

122122101022000 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 122122101022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148710533916672).

122122101022000 is an abundant number, since it is smaller than the sum of its proper divisors (175298966811344).

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

122122101022000 is a wasteful number, since it uses less digits than its factorization.

122122101022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445284 (or 445268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122122101022000 its reverse (220101221221), we get a palindrome (122342202243221).

The spelling of 122122101022000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred one million, twenty-two thousand".