1211261314120 has 256 divisors, whose sum is σ = 3377324160000. Its totient is φ = 384377011200.

The previous prime is 1211261314111. The next prime is 1211261314243. The reversal of 1211261314120 is 214131621121.

It is a happy number.

It is a super-2 number, since 2×1211261314120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53350531 + ... + 53373229.

It is an arithmetic number, because the mean of its divisors is an integer number (13192672500).

Almost surely, 2^{1211261314120} is an apocalyptic number.

1211261314120 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 1211261314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688662080000).

1211261314120 is an abundant number, since it is smaller than the sum of its proper divisors (2166062845880).

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

1211261314120 is a wasteful number, since it uses less digits than its factorization.

1211261314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23244 (or 23240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 1211261314120 its reverse (214131621121), we get a palindrome (1425392935241).

The spelling of 1211261314120 in words is "one trillion, two hundred eleven billion, two hundred sixty-one million, three hundred fourteen thousand, one hundred twenty".