1211220123200 has 84 divisors (see below), whose sum is σ = 2981658367380. Its totient is φ = 484276746240.

The previous prime is 1211220123133. The next prime is 1211220123227. The reversal of 1211220123200 is 23210221121.

It can be written as a sum of positive squares in 6 ways, for example, as 111523938304 + 1099696184896 = 333952^2 + 1048664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3530474 + ... + 3858326.

It is an arithmetic number, because the mean of its divisors is an integer number (35495932945).

Almost surely, 2^{1211220123200} is an apocalyptic number.

1211220123200 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 1211220123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490829183690).

1211220123200 is an abundant number, since it is smaller than the sum of its proper divisors (1770438244180).

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

1211220123200 is a wasteful number, since it uses less digits than its factorization.

1211220123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330184 (or 330169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1211220123200 its reverse (23210221121), we get a palindrome (1234430344321).

The spelling of 1211220123200 in words is "one trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-three thousand, two hundred".