121261312 has 36 divisors (see below), whose sum is σ = 243479236. Its totient is φ = 60272640.

The previous prime is 121261291. The next prime is 121261337. The reversal of 121261312 is 213162121.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 63744256 = 7584^2 + 7984^2 .

It is a super-2 number, since 2×121261312² = 29408611575922688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121261312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45028 + ... + 47644.

Almost surely, 2^121261312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121739618).

121261312 is an abundant number, since it is smaller than the sum of its proper divisors (122217924).

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

121261312 is an equidigital number, since it uses as much as digits as its factorization.

121261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2800 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 121261312 is about 11011.8714122532. The cubic root of 121261312 is about 494.9645412140.

The spelling of 121261312 in words is "one hundred twenty-one million, two hundred sixty-one thousand, three hundred twelve".