122101320000 has 560 divisors, whose sum is σ = 443399216832. Its totient is φ = 29399040000.

The previous prime is 122101319999. The next prime is 122101320031. The reversal of 122101320000 is 23101221.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 307559802 + ... + 307560198.

Almost surely, 2^122101320000 is an apocalyptic number.

122101320000 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 122101320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221699608416).

122101320000 is an abundant number, since it is smaller than the sum of its proper divisors (321297896832).

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

122101320000 is a wasteful number, since it uses less digits than its factorization.

122101320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122101320000 its reverse (23101221), we get a palindrome (122124421221).

The spelling of 122101320000 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty thousand".