201122400000 has 432 divisors, whose sum is σ = 683674242048. Its totient is φ = 52462080000.

The previous prime is 201122399981. The next prime is 201122400007. The reversal of 201122400000 is 4221102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122400007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 112799109 + ... + 112800891.

It is an arithmetic number, because the mean of its divisors is an integer number (1582579264).

Almost surely, 2^201122400000 is an apocalyptic number.

201122400000 is a gapful number since it is divisible by the number (20) 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 201122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341837121024).

201122400000 is an abundant number, since it is smaller than the sum of its proper divisors (482551842048).

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

201122400000 is an frugal number, since it uses more digits than its factorization.

201122400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201122400000 its reverse (4221102), we get a palindrome (201126621102).

The spelling of 201122400000 in words is "two hundred one billion, one hundred twenty-two million, four hundred thousand".