121436920 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 41126400.

The previous prime is 121436911. The next prime is 121436929. The reversal of 121436920 is 29634121.

It is an interprime number because it is at equal distance from previous prime (121436911) and next prime (121436929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121436929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395407 + ... + 395713.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^121436920 is an apocalyptic number.

121436920 is a gapful number since it is divisible by the number (10) 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 121436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

121436920 is an abundant number, since it is smaller than the sum of its proper divisors (197897480).

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

121436920 is a wasteful number, since it uses less digits than its factorization.

121436920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 121436920 is about 11019.8421041320. The cubic root of 121436920 is about 495.2033582696.

The spelling of 121436920 in words is "one hundred twenty-one million, four hundred thirty-six thousand, nine hundred twenty".