1012200022120 has 128 divisors (see below), whose sum is σ = 2611103040000. Its totient is φ = 345934282752.

The previous prime is 1012200022013. The next prime is 1012200022121. The reversal of 1012200022120 is 212200022101.

It is a happy number.

1012200022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1012200022120.

It is not an unprimeable number, because it can be changed into a prime (1012200022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216325941 + ... + 216330619.

It is an arithmetic number, because the mean of its divisors is an integer number (20399242500).

Almost surely, 2^{1012200022120} is an apocalyptic number.

1012200022120 is a gapful number since it is divisible by the number (10) 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 1012200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305551520000).

1012200022120 is an abundant number, since it is smaller than the sum of its proper divisors (1598903017880).

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

1012200022120 is a wasteful number, since it uses less digits than its factorization.

1012200022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012200022120 its reverse (212200022101), we get a palindrome (1224400044221).

The spelling of 1012200022120 in words is "one trillion, twelve billion, two hundred million, twenty-two thousand, one hundred twenty".