12022121120100 has 576 divisors, whose sum is σ = 45347773556736. Its totient is φ = 2386358968320.

The previous prime is 12022121120047. The next prime is 12022121120101. The reversal of 12022121120100 is 102112122021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022121120100.

It is not an unprimeable number, because it can be changed into a prime (12022121120101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1831799419 + ... + 1831805981.

It is an arithmetic number, because the mean of its divisors is an integer number (78728773536).

Almost surely, 2^{12022121120100} is an apocalyptic number.

12022121120100 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 12022121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673886778368).

12022121120100 is an abundant number, since it is smaller than the sum of its proper divisors (33325652436636).

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

12022121120100 is a wasteful number, since it uses less digits than its factorization.

12022121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12022121120100 its reverse (102112122021), we get a palindrome (12124233242121).

The spelling of 12022121120100 in words is "twelve trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".