121146610017040 has 160 divisors (see below), whose sum is σ = 294090055603200. Its totient is φ = 46357299732480.

The previous prime is 121146610017011. The next prime is 121146610017053. The reversal of 121146610017040 is 40710016641121.

It is a super-2 number, since 2×121146610017040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121146610016987 and 121146610017005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939982044 + ... + 940110916.

It is an arithmetic number, because the mean of its divisors is an integer number (1838062847520).

Almost surely, 2^{121146610017040} is an apocalyptic number.

121146610017040 is a gapful number since it is divisible by the number (10) 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 121146610017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147045027801600).

121146610017040 is an abundant number, since it is smaller than the sum of its proper divisors (172943445586160).

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

121146610017040 is a wasteful number, since it uses less digits than its factorization.

121146610017040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133265 (or 133259 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

Adding to 121146610017040 its reverse (40710016641121), we get a palindrome (161856626658161).

The spelling of 121146610017040 in words is "one hundred twenty-one trillion, one hundred forty-six billion, six hundred ten million, seventeen thousand, forty".