121906944 has 90 divisors (see below), whose sum is σ = 363566280. Its totient is φ = 40628736.

The previous prime is 121906901. The next prime is 121906951. The reversal of 121906944 is 449609121.

It is a happy number.

It is a super-2 number, since 2×121906944² = 29722605990838272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121906899 and 121906908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17797 + ... + 23675.

Almost surely, 2^121906944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181783140).

121906944 is an abundant number, since it is smaller than the sum of its proper divisors (241659336).

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

121906944 is an frugal number, since it uses more digits than its factorization.

121906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 121906944 is about 11041.1477664236. The cubic root of 121906944 is about 495.8414338781.

The spelling of 121906944 in words is "one hundred twenty-one million, nine hundred six thousand, nine hundred forty-four".