1012201222120 has 128 divisors (see below), whose sum is σ = 2632028256000. Its totient is φ = 346239078400.

The previous prime is 1012201222091. The next prime is 1012201222139. The reversal of 1012201222120 is 212221022101.

It is a happy number.

It is a super-2 number, since 2×1012201222120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012201222094 and 1012201222103.

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, 14543805 + ... + 14613235.

It is an arithmetic number, because the mean of its divisors is an integer number (20562720750).

Almost surely, 2^{1012201222120} is an apocalyptic number.

1012201222120 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 1012201222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316014128000).

1012201222120 is an abundant number, since it is smaller than the sum of its proper divisors (1619827033880).

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

1012201222120 is a wasteful number, since it uses less digits than its factorization.

1012201222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71419 (or 71415 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012201222120 its reverse (212221022101), we get a palindrome (1224422244221).

It can be divided in two parts, 1012201 and 222120, that added together give a palindrome (1234321).

The spelling of 1012201222120 in words is "one trillion, twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty".