1200001221120 has 160 divisors (see below), whose sum is σ = 4131350701632. Its totient is φ = 295384891392.

The previous prime is 1200001221103. The next prime is 1200001221121. The reversal of 1200001221120 is 211221000021.

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

It is a super-2 number, since 2×1200001221120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200001221096 and 1200001221105.

It is not an unprimeable number, because it can be changed into a prime (1200001221121) 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, 5909782 + ... + 6109461.

Almost surely, 2^{1200001221120} is an apocalyptic number.

1200001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200001221120 is an abundant number, since it is smaller than the sum of its proper divisors (2931349480512).

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

1200001221120 is a wasteful number, since it uses less digits than its factorization.

1200001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019282 (or 12019266 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200001221120 its reverse (211221000021), we get a palindrome (1411222221141).

The spelling of 1200001221120 in words is "one trillion, two hundred billion, one million, two hundred twenty-one thousand, one hundred twenty".