Search a number
-
+
1200243123120 = 24357170436803
BaseRepresentation
bin10001011101110100000…
…100001010001110110000
311020202001000012001012110
4101131310010022032300
5124131044214414440
62315214543325320
7152500100133546
oct21356404121660
94222030161173
101200243123120
11423024a53098
12174746bb0840
138924aa90242
1442140933d96
152134b212080
hex1177410a3b0

1200243123120 has 80 divisors (see below), whose sum is σ = 3773158716672. Its totient is φ = 315556872960.

The previous prime is 1200243123097. The next prime is 1200243123127. The reversal of 1200243123120 is 213213420021.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1200243123127) 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 15 ways as a sum of consecutive naturals, for example, 35201362 + ... + 35235441.

Almost surely, 21200243123120 is an apocalyptic number.

1200243123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200243123120 is an abundant number, since it is smaller than the sum of its proper divisors (2572915593552).

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

1200243123120 is a wasteful number, since it uses less digits than its factorization.

1200243123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70436890 (or 70436884 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1200243123120 its reverse (213213420021), we get a palindrome (1413456543141).

The spelling of 1200243123120 in words is "one trillion, two hundred billion, two hundred forty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 70436803 140873606 211310409 281747212 352184015 422620818 563494424 704368030 845241636 1056552045 1126988848 1408736060 1690483272 2113104090 2817472120 3380966544 4226208180 5001013013 5634944240 8452416360 10002026026 15003039039 16904832720 20004052052 25005065065 30006078078 40008104104 50010130130 60012156156 75015195195 80016208208 100020260260 120024312312 150030390390 200040520520 240048624624 300060780780 400081041040 600121561560 1200243123120