121263312 has 80 divisors (see below), whose sum is σ = 333996480. Its totient is φ = 37779456.

The previous prime is 121263277. The next prime is 121263313. The reversal of 121263312 is 213362121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121263313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140739 + ... + 141597.

It is an arithmetic number, because the mean of its divisors is an integer number (4174956).

Almost surely, 2^121263312 is an apocalyptic number.

121263312 is a gapful number since it is divisible by the number (12) 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 121263312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166998240).

121263312 is an abundant number, since it is smaller than the sum of its proper divisors (212733168).

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

121263312 is a wasteful number, since it uses less digits than its factorization.

121263312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 121263312 is about 11011.9622229646. The cubic root of 121263312 is about 494.9672623997.

The spelling of 121263312 in words is "one hundred twenty-one million, two hundred sixty-three thousand, three hundred twelve".