22201142042000 has 160 divisors (see below), whose sum is σ = 55140044144640. Its totient is φ = 8639377574400.

The previous prime is 22201142041987. The next prime is 22201142042017. The reversal of 22201142042000 is 24024110222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884953457 + ... + 884978543.

It is an arithmetic number, because the mean of its divisors is an integer number (344625275904).

Almost surely, 2^{22201142042000} is an apocalyptic number.

22201142042000 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 22201142042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27570022072320).

22201142042000 is an abundant number, since it is smaller than the sum of its proper divisors (32938902102640).

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

22201142042000 is a wasteful number, since it uses less digits than its factorization.

22201142042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37106 (or 37090 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22201142042000 its reverse (24024110222), we get a palindrome (22225166152222).

The spelling of 22201142042000 in words is "twenty-two trillion, two hundred one billion, one hundred forty-two million, forty-two thousand".