4022011200000 has 480 divisors, whose sum is σ = 14097955798080. Its totient is φ = 1016064000000.

The previous prime is 4022011199977. The next prime is 4022011200017. The reversal of 4022011200000 is 21102204.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 91177950 + ... + 91222050.

It is an arithmetic number, because the mean of its divisors is an integer number (29370741246).

Almost surely, 2^{4022011200000} is an apocalyptic number.

4022011200000 is a gapful number since it is divisible by the number (40) 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 4022011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048977899040).

4022011200000 is an abundant number, since it is smaller than the sum of its proper divisors (10075944598080).

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

4022011200000 is an frugal number, since it uses more digits than its factorization.

4022011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44166 (or 44130 counting only the distinct ones).

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

Adding to 4022011200000 its reverse (21102204), we get a palindrome (4022032302204).

The spelling of 4022011200000 in words is "four trillion, twenty-two billion, eleven million, two hundred thousand".