121122312 has 32 divisors (see below), whose sum is σ = 310992000. Its totient is φ = 39282624.

The previous prime is 121122307. The next prime is 121122329. The reversal of 121122312 is 213221121.

It is a super-2 number, since 2×121122312² = 29341228928450688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121122291 and 121122300.

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 7 ways as a sum of consecutive naturals, for example, 67312 + ... + 69087.

It is an arithmetic number, because the mean of its divisors is an integer number (9718500).

Almost surely, 2^121122312 is an apocalyptic number.

121122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122312 is an abundant number, since it is smaller than the sum of its proper divisors (189869688).

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

121122312 is a wasteful number, since it uses less digits than its factorization.

121122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136445 (or 136441 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 121122312 is about 11005.5582320935. The cubic root of 121122312 is about 494.7753454598.

Adding to 121122312 its reverse (213221121), we get a palindrome (334343433).

The spelling of 121122312 in words is "one hundred twenty-one million, one hundred twenty-two thousand, three hundred twelve".