1000001221120 has 160 divisors (see below), whose sum is σ = 2654672429376. Its totient is φ = 358208716800.

The previous prime is 1000001221069. The next prime is 1000001221127. The reversal of 1000001221120 is 211221000001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1000001221120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000001221097 and 1000001221106.

It is not an unprimeable number, because it can be changed into a prime (1000001221127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621710 + ... + 2151730.

Almost surely, 2^{1000001221120} is an apocalyptic number.

1000001221120 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 1000001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327336214688).

1000001221120 is an abundant number, since it is smaller than the sum of its proper divisors (1654671208256).

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

1000001221120 is an equidigital number, since it uses as much as digits as its factorization.

1000001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530122 (or 530106 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000001221120 its reverse (211221000001), we get a palindrome (1211222221121).

The spelling of 1000001221120 in words is "one trillion, one million, two hundred twenty-one thousand, one hundred twenty".