1200221121 has 48 divisors (see below), whose sum is σ = 1839499200. Its totient is φ = 690264960.

The previous prime is 1200221111. The next prime is 1200221137. The reversal of 1200221121 is 1211220021.

1200221121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1200221121 - 2²⁶ = 1133112257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1200221097 and 1200221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200221111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438855 + ... + 3439203.

It is an arithmetic number, because the mean of its divisors is an integer number (38322900).

Almost surely, 2^1200221121 is an apocalyptic number.

1200221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200221121 is a deficient number, since it is larger than the sum of its proper divisors (639278079).

1200221121 is a wasteful number, since it uses less digits than its factorization.

1200221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

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

The square root of 1200221121 is about 34644.2076110856. The cubic root of 1200221121 is about 1062.7238363199.

Adding to 1200221121 its reverse (1211220021), we get a palindrome (2411441142).

The spelling of 1200221121 in words is "one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".