121411535040 has 280 divisors, whose sum is σ = 440035889040. Its totient is φ = 31765174272.

The previous prime is 121411534997. The next prime is 121411535081. The reversal of 121411535040 is 40535114121.

121411535040 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 153 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121411534995 and 121411535013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1329571 + ... + 1417949.

Almost surely, 2^121411535040 is an apocalyptic number.

121411535040 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 121411535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220017944520).

121411535040 is an abundant number, since it is smaller than the sum of its proper divisors (318624354000).

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

121411535040 is an equidigital number, since it uses as much as digits as its factorization.

121411535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88461 (or 88442 counting only the distinct ones).

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

Adding to 121411535040 its reverse (40535114121), we get a palindrome (161946649161).

The spelling of 121411535040 in words is "one hundred twenty-one billion, four hundred eleven million, five hundred thirty-five thousand, forty".