122114003200 has 216 divisors, whose sum is σ = 363613046720. Its totient is φ = 39663820800.

The previous prime is 122114003189. The next prime is 122114003227. The reversal of 122114003200 is 2300411221.

It is a super-2 number, since 2×122114003200² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779470 + ... + 922930.

Almost surely, 2^122114003200 is an apocalyptic number.

122114003200 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 122114003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181806523360).

122114003200 is an abundant number, since it is smaller than the sum of its proper divisors (241499043520).

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

122114003200 is a wasteful number, since it uses less digits than its factorization.

122114003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143513 (or 143494 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122114003200 its reverse (2300411221), we get a palindrome (124414414421).

The spelling of 122114003200 in words is "one hundred twenty-two billion, one hundred fourteen million, three thousand, two hundred".