121345403040 has 576 divisors, whose sum is σ = 455893401600. Its totient is φ = 29275084800.

The previous prime is 121345402991. The next prime is 121345403161. The reversal of 121345403040 is 40304543121.

It is a happy number.

121345403040 is a `hidden beast` number, since 1 + 21 + 34 + 540 + 30 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121345402995 and 121345403013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67003735 + ... + 67005545.

It is an arithmetic number, because the mean of its divisors is an integer number (791481600).

Almost surely, 2^121345403040 is an apocalyptic number.

121345403040 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 121345403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227946700800).

121345403040 is an abundant number, since it is smaller than the sum of its proper divisors (334547998560).

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

121345403040 is a wasteful number, since it uses less digits than its factorization.

121345403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 121345403040 its reverse (40304543121), we get a palindrome (161649946161).

The spelling of 121345403040 in words is "one hundred twenty-one billion, three hundred forty-five million, four hundred three thousand, forty".