121361652 has 120 divisors (see below), whose sum is σ = 336306432. Its totient is φ = 38102400.

The previous prime is 121361651. The next prime is 121361671. The reversal of 121361652 is 256163121.

121361652 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 6 + 1 + 652 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2160) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121361651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431752 + ... + 432032.

Almost surely, 2^121361652 is an apocalyptic number.

121361652 is a gapful number since it is divisible by the number (12) 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 121361652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168153216).

121361652 is an abundant number, since it is smaller than the sum of its proper divisors (214944780).

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

121361652 is a wasteful number, since it uses less digits than its factorization.

121361652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 121361652 is about 11016.4264623334. The cubic root of 121361652 is about 495.1010262118.

The spelling of 121361652 in words is "one hundred twenty-one million, three hundred sixty-one thousand, six hundred fifty-two".