1201000021120 has 32 divisors (see below), whose sum is σ = 2871140677020. Its totient is φ = 480400008192.

The previous prime is 1201000021069. The next prime is 1201000021231. The reversal of 1201000021120 is 211200001021.

It can be written as a sum of positive squares in 2 ways, for example, as 1149681461824 + 51318559296 = 1072232^2 + 226536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 = 1201000021097 and 1201000021106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 938280627 + ... + 938281906.

Almost surely, 2^{1201000021120} is an apocalyptic number.

1201000021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201000021120 is an abundant number, since it is smaller than the sum of its proper divisors (1670140655900).

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

1201000021120 is an equidigital number, since it uses as much as digits as its factorization.

1201000021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876562552 (or 1876562540 counting only the distinct ones).

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

Adding to 1201000021120 its reverse (211200001021), we get a palindrome (1412200022141).

The spelling of 1201000021120 in words is "one trillion, two hundred one billion, twenty-one thousand, one hundred twenty".