121122900 has 54 divisors (see below), whose sum is σ = 379655822. Its totient is φ = 32299200.

The previous prime is 121122877. The next prime is 121122907. The reversal of 121122900 is 9221121.

It can be written as a sum of positive squares in 3 ways, for example, as 35856144 + 85266756 = 5988^2 + 9234^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 66391 + ... + 68190.

Almost surely, 2^121122900 is an apocalyptic number.

121122900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122900 is an abundant number, since it is smaller than the sum of its proper divisors (258532922).

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

121122900 is a wasteful number, since it uses less digits than its factorization.

121122900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134601 (or 134591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121122900 is about 11005.5849458355. The cubic root of 121122900 is about 494.7761461035.

The spelling of 121122900 in words is "one hundred twenty-one million, one hundred twenty-two thousand, nine hundred".