121145301005040 has 240 divisors, whose sum is σ = 443065120767360. Its totient is φ = 29485321113600.

The previous prime is 121145301005033. The next prime is 121145301005051. The reversal of 121145301005040 is 40500103541121.

121145301005040 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 53 + 0 + 100 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×121145301005040³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121145301004995 and 121145301005013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71879736 + ... + 73545815.

It is an arithmetic number, because the mean of its divisors is an integer number (1846104669864).

Almost surely, 2^{121145301005040} is an apocalyptic number.

121145301005040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121145301005040 is an abundant number, since it is smaller than the sum of its proper divisors (321919819762320).

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

121145301005040 is a wasteful number, since it uses less digits than its factorization.

121145301005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145425672 (or 145425663 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 121145301005040 its reverse (40500103541121), we get a palindrome (161645404546161).

The spelling of 121145301005040 in words is "one hundred twenty-one trillion, one hundred forty-five billion, three hundred one million, five thousand, forty".