121900320 has 72 divisors (see below), whose sum is σ = 415989756. Its totient is φ = 32506368.

The previous prime is 121900301. The next prime is 121900343. The reversal of 121900320 is 23009121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 14653584 = 10356^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×121900320² = 29719376032204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121900293 and 121900302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40887 + ... + 43766.

Almost surely, 2^121900320 is an apocalyptic number.

121900320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121900320 is an abundant number, since it is smaller than the sum of its proper divisors (294089436).

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

121900320 is a wasteful number, since it uses less digits than its factorization.

121900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84674 (or 84663 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 121900320 is about 11040.8477935347. The cubic root of 121900320 is about 495.8324529482.

Adding to 121900320 its reverse (23009121), we get a palindrome (144909441).

The spelling of 121900320 in words is "one hundred twenty-one million, nine hundred thousand, three hundred twenty".