222012222101120 has 128 divisors (see below), whose sum is σ = 580859518711680. Its totient is φ = 80472128819200.

The previous prime is 222012222101053. The next prime is 222012222101161. The reversal of 222012222101120 is 21101222210222.

222012222101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 222012222101092 and 222012222101101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48511247 + ... + 52890126.

It is an arithmetic number, because the mean of its divisors is an integer number (4537964989935).

Almost surely, 2^{222012222101120} is an apocalyptic number.

222012222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012222101120 is an abundant number, since it is smaller than the sum of its proper divisors (358847296610560).

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

222012222101120 is a wasteful number, since it uses less digits than its factorization.

222012222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101401714 (or 101401702 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222012222101120 its reverse (21101222210222), we get a palindrome (243113444311342).

The spelling of 222012222101120 in words is "two hundred twenty-two trillion, twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".