121901934 has 144 divisors (see below), whose sum is σ = 329261184. Its totient is φ = 29441280.

The previous prime is 121901921. The next prime is 121901953. The reversal of 121901934 is 439109121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1468657 + ... + 1468739.

It is an arithmetic number, because the mean of its divisors is an integer number (2286536).

Almost surely, 2^121901934 is an apocalyptic number.

121901934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121901934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164630592).

121901934 is an abundant number, since it is smaller than the sum of its proper divisors (207359250).

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

121901934 is a wasteful number, since it uses less digits than its factorization.

121901934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 121901934 is about 11040.9208855059. The cubic root of 121901934 is about 495.8346412664.

The spelling of 121901934 in words is "one hundred twenty-one million, nine hundred one thousand, nine hundred thirty-four".