121293509832001 has 24 divisors (see below), whose sum is σ = 131504915802240. Its totient is φ = 111823966800000.

The previous prime is 121293509831951. The next prime is 121293509832091. The reversal of 121293509832001 is 100238905392121.

It is not a de Polignac number, because 121293509832001 - 2¹⁹ = 121293509307713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121293509832091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054659501 + ... + 1054774501.

It is an arithmetic number, because the mean of its divisors is an integer number (5479371491760).

Almost surely, 2^{121293509832001} is an apocalyptic number.

It is an amenable number.

121293509832001 is a deficient number, since it is larger than the sum of its proper divisors (10211405970239).

121293509832001 is a wasteful number, since it uses less digits than its factorization.

121293509832001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122737 (or 122724 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 121293509832001 in words is "one hundred twenty-one trillion, two hundred ninety-three billion, five hundred nine million, eight hundred thirty-two thousand, one".