1001211222120 has 128 divisors (see below), whose sum is σ = 3247171804800. Its totient is φ = 246101400576.

The previous prime is 1001211222017. The next prime is 1001211222131. The reversal of 1001211222120 is 212221121001.

1001211222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001211222120² (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 a self number, because there is not a number n which added to its sum of digits gives 1001211222120.

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, 5849799 + ... + 6018518.

It is an arithmetic number, because the mean of its divisors is an integer number (25368529725).

Almost surely, 2^{1001211222120} is an apocalyptic number.

1001211222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211222120 is an abundant number, since it is smaller than the sum of its proper divisors (2245960582680).

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

1001211222120 is a wasteful number, since it uses less digits than its factorization.

1001211222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868387 (or 11868383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001211222120 its reverse (212221121001), we get a palindrome (1213432343121).

The spelling of 1001211222120 in words is "one trillion, one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".