121629438 has 80 divisors (see below), whose sum is σ = 313399680. Its totient is φ = 34537104.

The previous prime is 121629437. The next prime is 121629463. The reversal of 121629438 is 834926121.

121629438 is a `hidden beast` number, since 1 + 21 + 629 + 4 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121629433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320733 + ... + 321111.

It is an arithmetic number, because the mean of its divisors is an integer number (3917496).

Almost surely, 2^121629438 is an apocalyptic number.

121629438 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 121629438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156699840).

121629438 is an abundant number, since it is smaller than the sum of its proper divisors (191770242).

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

121629438 is a wasteful number, since it uses less digits than its factorization.

121629438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 674 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 121629438 is about 11028.5737065135. The cubic root of 121629438 is about 495.4649075714.

The spelling of 121629438 in words is "one hundred twenty-one million, six hundred twenty-nine thousand, four hundred thirty-eight".