122203013101120 has 336 divisors, whose sum is σ = 359195389427952. Its totient is φ = 39347998556160.

The previous prime is 122203013101093. The next prime is 122203013101139. The reversal of 122203013101120 is 21101310302221.

It can be written as a sum of positive squares in 8 ways, for example, as 412718874624 + 121790294226496 = 642432^2 + 11035864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122386932 + ... + 123381388.

It is an arithmetic number, because the mean of its divisors is an integer number (1069033897107).

Almost surely, 2^{122203013101120} is an apocalyptic number.

122203013101120 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 122203013101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179597694713976).

122203013101120 is an abundant number, since it is smaller than the sum of its proper divisors (236992376326832).

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

122203013101120 is a wasteful number, since it uses less digits than its factorization.

122203013101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994966 (or 994949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122203013101120 its reverse (21101310302221), we get a palindrome (143304323403341).

The spelling of 122203013101120 in words is "one hundred twenty-two trillion, two hundred three billion, thirteen million, one hundred one thousand, one hundred twenty".