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121515402144 = 2531774457967
BaseRepresentation
bin111000100101011100…
…0011110001110100000
3102121122121200000102210
41301022320132032200
53442330420332034
6131453504442120
711531156606313
oct1611270361640
9377577600383
10121515402144
1147597305194
121b673319340
13b5c7140026
145c4a6d897a
1532630438e9
hex1c4ae1e3a0

121515402144 has 48 divisors (see below), whose sum is σ = 337741342848. Its totient is φ = 38122478592.

The previous prime is 121515402143. The next prime is 121515402157. The reversal of 121515402144 is 441204515121.

121515402144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (121515402143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37227352 + ... + 37230615.

It is an arithmetic number, because the mean of its divisors is an integer number (7036277976).

Almost surely, 2121515402144 is an apocalyptic number.

It is an amenable number.

121515402144 is an abundant number, since it is smaller than the sum of its proper divisors (216225940704).

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

121515402144 is a wasteful number, since it uses less digits than its factorization.

121515402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74457997 (or 74457989 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 121515402144 its reverse (441204515121), we get a palindrome (562719917265).

The spelling of 121515402144 in words is "one hundred twenty-one billion, five hundred fifteen million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 74457967 148915934 223373901 297831868 446747802 595663736 893495604 1191327472 1265785439 1786991208 2382654944 2531570878 3573982416 3797356317 5063141756 7147964832 7594712634 10126283512 15189425268 20252567024 30378850536 40505134048 60757701072 121515402144