121917264 has 80 divisors (see below), whose sum is σ = 361167360. Its totient is φ = 34715520.

The previous prime is 121917253. The next prime is 121917269. The reversal of 121917264 is 462719121.

It is a happy number.

It is a super-2 number, since 2×121917264² = 29727638522491392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121917269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164607 + ... + 165345.

It is an arithmetic number, because the mean of its divisors is an integer number (4514592).

Almost surely, 2^121917264 is an apocalyptic number.

121917264 is a gapful number since it is divisible by the number (14) 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 121917264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180583680).

121917264 is an abundant number, since it is smaller than the sum of its proper divisors (239250096).

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

121917264 is a wasteful number, since it uses less digits than its factorization.

121917264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 121917264 is about 11041.6150992507. The cubic root of 121917264 is about 495.8554252583.

The spelling of 121917264 in words is "one hundred twenty-one million, nine hundred seventeen thousand, two hundred sixty-four".