121695624801 has 45 divisors (see below), whose sum is σ = 184403753281. Its totient is φ = 79981307928.

The previous prime is 121695624779. The next prime is 121695624901. The reversal of 121695624801 is 108426596121.

The square root of 121695624801 is 348849.

It is a perfect power (a square), and thus also a powerful number.

121695624801 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 9 + 562 + 4 + 80 + 1 = 666.

It is not a de Polignac number, because 121695624801 - 2⁹ = 121695624289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121695624901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 260589970 + ... + 260590436.

Almost surely, 2^121695624801 is an apocalyptic number.

121695624801 is the 348849-th square number.

121695624801 is the 174425-th centered octagonal number.

It is an amenable number.

121695624801 is a deficient number, since it is larger than the sum of its proper divisors (62708128480).

121695624801 is an frugal number, since it uses more digits than its factorization.

121695624801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 121695 and 624801, that added together give a square (746496 = 864²).

The spelling of 121695624801 in words is "one hundred twenty-one billion, six hundred ninety-five million, six hundred twenty-four thousand, eight hundred one".