121623264 has 288 divisors, whose sum is σ = 428972544. Its totient is φ = 31933440.

The previous prime is 121623259. The next prime is 121623277. The reversal of 121623264 is 462326121.

121623264 is a `hidden beast` number, since 12 + 1 + 623 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1993794 + ... + 1993854.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^121623264 is an apocalyptic number.

121623264 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 121623264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

121623264 is an abundant number, since it is smaller than the sum of its proper divisors (307349280).

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

121623264 is a wasteful number, since it uses less digits than its factorization.

121623264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 121623264 is about 11028.2937936927. The cubic root of 121623264 is about 495.4565240414.

Adding to 121623264 its reverse (462326121), we get a palindrome (583949385).

The spelling of 121623264 in words is "one hundred twenty-one million, six hundred twenty-three thousand, two hundred sixty-four".