122120101220000 has 240 divisors, whose sum is σ = 323631883453032. Its totient is φ = 45078259200000.

The previous prime is 122120101219993. The next prime is 122120101220081. The reversal of 122120101220000 is 22101021221.

It can be written as a sum of positive squares in 20 ways, for example, as 119209624275856 + 2910476944144 = 10918316^2 + 1706012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 987158150 + ... + 987281850.

Almost surely, 2^{122120101220000} is an apocalyptic number.

122120101220000 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 122120101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161815941726516).

122120101220000 is an abundant number, since it is smaller than the sum of its proper divisors (201511782233032).

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

122120101220000 is a wasteful number, since it uses less digits than its factorization.

122120101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127541 (or 127518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120101220000 its reverse (22101021221), we get a palindrome (122142202241221).

The spelling of 122120101220000 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred twenty thousand".