122642401200 has 480 divisors, whose sum is σ = 439602792192. Its totient is φ = 28976640000.

The previous prime is 122642401129. The next prime is 122642401213. The reversal of 122642401200 is 2104246221.

It is a happy number.

It is a super-2 number, since 2×122642401200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 89323714 + ... + 89325086.

Almost surely, 2^122642401200 is an apocalyptic number.

122642401200 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 122642401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219801396096).

122642401200 is an abundant number, since it is smaller than the sum of its proper divisors (316960390992).

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

122642401200 is a wasteful number, since it uses less digits than its factorization.

122642401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122642401200 its reverse (2104246221), we get a palindrome (124746647421).

The spelling of 122642401200 in words is "one hundred twenty-two billion, six hundred forty-two million, four hundred one thousand, two hundred".