121287936 has 216 divisors, whose sum is σ = 411040224. Its totient is φ = 31395840.

The previous prime is 121287931. The next prime is 121287953. The reversal of 121287936 is 639782121.

It is a junction number, because it is equal to n+sod(n) for n = 121287894 and 121287903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121287931) 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, 413806 + ... + 414098.

It is an arithmetic number, because the mean of its divisors is an integer number (1902964).

Almost surely, 2^121287936 is an apocalyptic number.

121287936 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 121287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205520112).

121287936 is an abundant number, since it is smaller than the sum of its proper divisors (289752288).

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

121287936 is a wasteful number, since it uses less digits than its factorization.

121287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 121287936 is about 11013.0802230802. The cubic root of 121287936 is about 495.0007631863. Note that the first 3 decimals are identical.

The spelling of 121287936 in words is "one hundred twenty-one million, two hundred eighty-seven thousand, nine hundred thirty-six".