1200332221121 has 144 divisors (see below), whose sum is σ = 1524008908800. Its totient is φ = 941420113920.

The previous prime is 1200332221093. The next prime is 1200332221139. The reversal of 1200332221121 is 1211222330021.

It is not a de Polignac number, because 1200332221121 - 2¹⁸ = 1200331958977 is a prime.

It is a super-2 number, since 2×1200332221121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1200332221093 and 1200332221102.

It is not an unprimeable number, because it can be changed into a prime (1200332221421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3134026496 + ... + 3134026878.

It is an arithmetic number, because the mean of its divisors is an integer number (10583395200).

Almost surely, 2^{1200332221121} is an apocalyptic number.

1200332221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200332221121 is a deficient number, since it is larger than the sum of its proper divisors (323676687679).

1200332221121 is a wasteful number, since it uses less digits than its factorization.

1200332221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1200332221121 its reverse (1211222330021), we get a palindrome (2411554551142).

The spelling of 1200332221121 in words is "one trillion, two hundred billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-one".