2220213012000 has 96 divisors (see below), whose sum is σ = 7273417866624. Its totient is φ = 592056800000.

The previous prime is 2220213011971. The next prime is 2220213012007. The reversal of 2220213012000 is 2103120222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2220213012000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2220213012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92496876 + ... + 92520875.

It is an arithmetic number, because the mean of its divisors is an integer number (75764769444).

Almost surely, 2^{2220213012000} is an apocalyptic number.

2220213012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220213012000 is an abundant number, since it is smaller than the sum of its proper divisors (5053204854624).

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

2220213012000 is a wasteful number, since it uses less digits than its factorization.

2220213012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185017779 (or 185017761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220213012000 its reverse (2103120222), we get a palindrome (2222316132222).

The spelling of 2220213012000 in words is "two trillion, two hundred twenty billion, two hundred thirteen million, twelve thousand".