121801693 has 8 divisors (see below), whose sum is σ = 134370936. Its totient is φ = 109689600.

The previous prime is 121801681. The next prime is 121801709. The reversal of 121801693 is 396108121.

121801693 = T₂₄₁₇ + T₂₄₁₈ + ... + T₂₄₅₇.

It can be written as a sum of positive squares in 4 ways, for example, as 515524 + 121286169 = 718^2 + 11013^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121801693 - 2⁹ = 121801181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121801643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113728 + ... + 114793.

It is an arithmetic number, because the mean of its divisors is an integer number (16796367).

Almost surely, 2^121801693 is an apocalyptic number.

121801693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121801693 is a deficient number, since it is larger than the sum of its proper divisors (12569243).

121801693 is a wasteful number, since it uses less digits than its factorization.

121801693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228575.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 121801693 is about 11036.3804301954. The cubic root of 121801693 is about 495.6986943113.

The spelling of 121801693 in words is "one hundred twenty-one million, eight hundred one thousand, six hundred ninety-three".