122101120112000 has 128 divisors (see below), whose sum is σ = 303590476219680. Its totient is φ = 48837782784000.

The previous prime is 122101120111987. The next prime is 122101120112047. The reversal of 122101120112000 is 211021101221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307177382 + ... + 307574618.

Almost surely, 2^{122101120112000} is an apocalyptic number.

122101120112000 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 122101120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151795238109840).

122101120112000 is an abundant number, since it is smaller than the sum of its proper divisors (181489356107680).

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

122101120112000 is an equidigital number, since it uses as much as digits as its factorization.

122101120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416477 (or 416455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101120112000 its reverse (211021101221), we get a palindrome (122312141213221).

The spelling of 122101120112000 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred twelve thousand".