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121333142040 = 233511211177481
BaseRepresentation
bin111000100000000000…
…1001101001000011000
3102121011220201020120120
41301000001031020120
53441442241021130
6131423434153240
711523514455615
oct1610001151030
9377156636516
10121333142040
1147503439500
121b622282820
13b598457506
145c3041350c
153252040910
hex1c4004d218

121333142040 has 192 divisors, whose sum is σ = 400510262880. Its totient is φ = 29383833600.

The previous prime is 121333141991. The next prime is 121333142111. The reversal of 121333142040 is 40241333121.

It is a happy number.

121333142040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121333142040.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16215100 + ... + 16222580.

Almost surely, 2121333142040 is an apocalyptic number.

121333142040 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 121333142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200255131440).

121333142040 is an abundant number, since it is smaller than the sum of its proper divisors (279177120840).

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

121333142040 is a wasteful number, since it uses less digits than its factorization.

121333142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121333142040 its reverse (40241333121), we get a palindrome (161574475161).

The spelling of 121333142040 in words is "one hundred twenty-one billion, three hundred thirty-three million, one hundred forty-two thousand, forty".