122221101031320 has 128 divisors (see below), whose sum is σ = 369079131709440. Its totient is φ = 32378012674560.

The previous prime is 122221101031307. The next prime is 122221101031333. The reversal of 122221101031320 is 23130101122221.

It is an interprime number because it is at equal distance from previous prime (122221101031307) and next prime (122221101031333).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13441062 + ... + 20618058.

It is an arithmetic number, because the mean of its divisors is an integer number (2883430716480).

Almost surely, 2^{122221101031320} is an apocalyptic number.

122221101031320 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 122221101031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184539565854720).

122221101031320 is an abundant number, since it is smaller than the sum of its proper divisors (246858030678120).

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

122221101031320 is a wasteful number, since it uses less digits than its factorization.

122221101031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177945 (or 7177941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122221101031320 its reverse (23130101122221), we get a palindrome (145351202153541).

Subtracting from 122221101031320 its reverse (23130101122221), we obtain a palindrome (99090999909099).

The spelling of 122221101031320 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred one million, thirty-one thousand, three hundred twenty".