121966938 has 48 divisors (see below), whose sum is σ = 276007680. Its totient is φ = 39923280.

The previous prime is 121966921. The next prime is 121966961. The reversal of 121966938 is 839669121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121966893 and 121966902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200631 + ... + 201237.

It is an arithmetic number, because the mean of its divisors is an integer number (5750160).

Almost surely, 2^121966938 is an apocalyptic number.

121966938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121966938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138003840).

121966938 is an abundant number, since it is smaller than the sum of its proper divisors (154040742).

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

121966938 is an equidigital number, since it uses as much as digits as its factorization.

121966938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 673 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 121966938 is about 11043.8642693579. The cubic root of 121966938 is about 495.9227599330.

The spelling of 121966938 in words is "one hundred twenty-one million, nine hundred sixty-six thousand, nine hundred thirty-eight".