121966970472801 has 48 divisors (see below), whose sum is σ = 191897896320000. Its totient is φ = 74433426629760.

The previous prime is 121966970472797. The next prime is 121966970472803. The reversal of 121966970472801 is 108274079669121.

121966970472801 is a `hidden beast` number, since 1 + 2 + 1 + 96 + 6 + 9 + 70 + 472 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 121966970472801 - 2² = 121966970472797 is a prime.

It is a super-3 number, since 3×121966970472801³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (121966970472803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130062801 + ... + 130997198.

It is an arithmetic number, because the mean of its divisors is an integer number (3997872840000).

Almost surely, 2^{121966970472801} is an apocalyptic number.

It is an amenable number.

121966970472801 is a deficient number, since it is larger than the sum of its proper divisors (69930925847199).

121966970472801 is a wasteful number, since it uses less digits than its factorization.

121966970472801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261060126 (or 261060123 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 121966970472801 in words is "one hundred twenty-one trillion, nine hundred sixty-six billion, nine hundred seventy million, four hundred seventy-two thousand, eight hundred one".