122032103200 has 288 divisors, whose sum is σ = 345007918080. Its totient is φ = 41286067200.

The previous prime is 122032103197. The next prime is 122032103213. The reversal of 122032103200 is 2301230221.

It is a super-2 number, since 2×122032103200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 164242029 + ... + 164242771.

It is an arithmetic number, because the mean of its divisors is an integer number (1197944160).

Almost surely, 2^122032103200 is an apocalyptic number.

122032103200 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 122032103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172503959040).

122032103200 is an abundant number, since it is smaller than the sum of its proper divisors (222975814880).

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

122032103200 is a wasteful number, since it uses less digits than its factorization.

122032103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122032103200 its reverse (2301230221), we get a palindrome (124333333421).

The spelling of 122032103200 in words is "one hundred twenty-two billion, thirty-two million, one hundred three thousand, two hundred".