121929696 has 144 divisors (see below), whose sum is σ = 409264128. Its totient is φ = 33696000.

The previous prime is 121929641. The next prime is 121929697. The reversal of 121929696 is 696929121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121929697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61521 + ... + 63471.

It is an arithmetic number, because the mean of its divisors is an integer number (2842112).

Almost surely, 2^121929696 is an apocalyptic number.

121929696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121929696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204632064).

121929696 is an abundant number, since it is smaller than the sum of its proper divisors (287334432).

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

121929696 is a wasteful number, since it uses less digits than its factorization.

121929696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1994 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 121929696 is about 11042.1780460197. The cubic root of 121929696 is about 495.8722789423.

The spelling of 121929696 in words is "one hundred twenty-one million, nine hundred twenty-nine thousand, six hundred ninety-six".