Search a number
-
+
12341122724 = 2272959925373
BaseRepresentation
bin10110111111001011…
…01001011010100100
31011212001222222202102
423133211221122210
5200233311411344
65400333031232
7614552545430
oct133745513244
934761888672
1012341122724
115263273187
122485025518
131218a301a8
148510579c0
154c36a3e4e
hex2df9696a4

12341122724 has 48 divisors (see below), whose sum is σ = 25576992000. Its totient is φ = 5097945216.

The previous prime is 12341122621. The next prime is 12341122727. The reversal of 12341122724 is 42722114321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (12341122727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473702 + ... + 499074.

It is an arithmetic number, because the mean of its divisors is an integer number (532854000).

Almost surely, 212341122724 is an apocalyptic number.

12341122724 is a gapful number since it is divisible by the number (14) 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 12341122724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788496000).

12341122724 is an abundant number, since it is smaller than the sum of its proper divisors (13235869276).

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

12341122724 is a wasteful number, since it uses less digits than its factorization.

12341122724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26012 (or 26010 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The spelling of 12341122724 in words is "twelve billion, three hundred forty-one million, one hundred twenty-two thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 599 812 1198 2396 4193 8386 16772 17371 25373 34742 50746 69484 101492 121597 177611 243194 355222 486388 710444 735817 1471634 2943268 5150719 10301438 15198427 20602876 30396854 60793708 106388989 212777978 425555956 440754383 881508766 1763017532 3085280681 6170561362 12341122724