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121778234144 = 2571134811087
BaseRepresentation
bin111000101101010001…
…1000110001100100000
3102122022221020021011022
41301122203012030200
53443400211443034
6131535534105012
711540530624340
oct1613243061440
9378287207138
10121778234144
1147711702816
121b72734b168
13b639726318
145c73594d20
15327b15eb2e
hex1c5a8c6320

121778234144 has 48 divisors (see below), whose sum is σ = 276425872128. Its totient is φ = 51728796672.

The previous prime is 121778234141. The next prime is 121778234209. The reversal of 121778234144 is 441432877121.

It is a happy number.

It is a super-2 number, since 2×1217782341442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121778234095 and 121778234104.

It is not an unprimeable number, because it can be changed into a prime (121778234141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2380232 + ... + 2430855.

It is an arithmetic number, because the mean of its divisors is an integer number (5758872336).

Almost surely, 2121778234144 is an apocalyptic number.

121778234144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121778234144 is an abundant number, since it is smaller than the sum of its proper divisors (154647637984).

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

121778234144 is a wasteful number, since it uses less digits than its factorization.

121778234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811217 (or 4811209 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The spelling of 121778234144 in words is "one hundred twenty-one billion, seven hundred seventy-eight million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 904 1582 1808 3164 3616 6328 12656 25312 4811087 9622174 19244348 33677609 38488696 67355218 76977392 134710436 153954784 269420872 538841744 543652831 1077683488 1087305662 2174611324 3805569817 4349222648 7611139634 8698445296 15222279268 17396890592 30444558536 60889117072 121778234144