121131864 has 48 divisors (see below), whose sum is σ = 374933520. Its totient is φ = 34608960.

The previous prime is 121131853. The next prime is 121131889. The reversal of 121131864 is 468131121.

It is a happy number.

It is a super-2 number, since 2×121131864² = 29345856952228992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 119667 + ... + 120674.

It is an arithmetic number, because the mean of its divisors is an integer number (7811115).

Almost surely, 2^121131864 is an apocalyptic number.

121131864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121131864 is an abundant number, since it is smaller than the sum of its proper divisors (253801656).

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

121131864 is a wasteful number, since it uses less digits than its factorization.

121131864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240360 (or 240353 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 121131864 is about 11005.9921860775. The cubic root of 121131864 is about 494.7883515135.

Adding to 121131864 its reverse (468131121), we get a palindrome (589262985).

The spelling of 121131864 in words is "one hundred twenty-one million, one hundred thirty-one thousand, eight hundred sixty-four".