121015067040 has 768 divisors, whose sum is σ = 503317463040. Its totient is φ = 26573598720.

The previous prime is 121015067039. The next prime is 121015067051. The reversal of 121015067040 is 40760510121.

It is a happy number.

121015067040 is a `hidden beast` number, since 12 + 101 + 506 + 7 + 0 + 40 = 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 = 121015066995 and 121015067013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156552094 + ... + 156552866.

It is an arithmetic number, because the mean of its divisors is an integer number (655361280).

Almost surely, 2^121015067040 is an apocalyptic number.

121015067040 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 121015067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251658731520).

121015067040 is an abundant number, since it is smaller than the sum of its proper divisors (382302396000).

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

121015067040 is a wasteful number, since it uses less digits than its factorization.

121015067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 121015067040 its reverse (40760510121), we get a palindrome (161775577161).

The spelling of 121015067040 in words is "one hundred twenty-one billion, fifteen million, sixty-seven thousand, forty".