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12247741000 = 2353112101221
BaseRepresentation
bin10110110100000010…
…11011001001001000
31011121120021201010001
423122001123021020
5200040410203000
65343155332344
7612340036465
oct133201331110
934546251101
1012247741000
115215592100
1224598b10b4
131202595c31
148428aa66c
154ba3aa46a
hex2da05b248

12247741000 has 96 divisors (see below), whose sum is σ = 31502310840. Its totient is φ = 4453680000.

The previous prime is 12247740997. The next prime is 12247741003. The reversal of 12247741000 is 14774221.

It is an interprime number because it is at equal distance from previous prime (12247740997) and next prime (12247741003).

It can be written as a sum of positive squares in 4 ways, for example, as 716847076 + 11530893924 = 26774^2 + 107382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12247741000.

It is not an unprimeable number, because it can be changed into a prime (12247741003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70390 + ... + 171610.

Almost surely, 212247741000 is an apocalyptic number.

12247741000 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 12247741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751155420).

12247741000 is an abundant number, since it is smaller than the sum of its proper divisors (19254569840).

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

12247741000 is a wasteful number, since it uses less digits than its factorization.

12247741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101264 (or 101239 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 12247741000 in words is "twelve billion, two hundred forty-seven million, seven hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 101221 121000 202442 404884 506105 809768 1012210 1113431 2024420 2226862 2530525 4048840 4453724 5061050 5567155 8907448 10122100 11134310 12247741 12652625 20244200 22268620 24495482 25305250 27835775 44537240 48990964 50610500 55671550 61238705 97981928 101221000 111343100 122477410 139178875 222686200 244954820 278357750 306193525 489909640 556715500 612387050 1113431000 1224774100 1530967625 2449548200 3061935250 6123870500 12247741000