2220142113200 has 120 divisors (see below), whose sum is σ = 5819732523696. Its totient is φ = 807193728000.

The previous prime is 2220142113193. The next prime is 2220142113223. The reversal of 2220142113200 is 23112410222.

It is a super-2 number, since 2×2220142113200² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 29587730 + ... + 29662670.

Almost surely, 2^{2220142113200} is an apocalyptic number.

2220142113200 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 2220142113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909866261848).

2220142113200 is an abundant number, since it is smaller than the sum of its proper divisors (3599590410496).

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

2220142113200 is a wasteful number, since it uses less digits than its factorization.

2220142113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81703 (or 81692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2220142113200 its reverse (23112410222), we get a palindrome (2243254523422).

The spelling of 2220142113200 in words is "two trillion, two hundred twenty billion, one hundred forty-two million, one hundred thirteen thousand, two hundred".