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12113444400 = 2435213617417
BaseRepresentation
bin10110100100000010…
…00111111000110000
31011021012120201210220
423102001013320300
5144302020210100
65322001053040
7606116402301
oct132201077060
934235521726
1012113444400
1151567a6082
122420927180
1311b08048a5
1482cb0c7a8
154ad6cdaa0
hex2d2047e30

12113444400 has 120 divisors (see below), whose sum is σ = 38837146704. Its totient is φ = 3227443200.

The previous prime is 12113444389. The next prime is 12113444407. The reversal of 12113444400 is 444431121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12113444407) 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, 1629492 + ... + 1636908.

Almost surely, 212113444400 is an apocalyptic number.

12113444400 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 12113444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418573352).

12113444400 is an abundant number, since it is smaller than the sum of its proper divisors (26723702304).

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

12113444400 is a wasteful number, since it uses less digits than its factorization.

12113444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12113444400 its reverse (444431121), we get a palindrome (12557875521).

The spelling of 12113444400 in words is "twelve billion, one hundred thirteen million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1361 2722 4083 5444 6805 7417 8166 10888 13610 14834 16332 20415 21776 22251 27220 29668 32664 34025 37085 40830 44502 54440 59336 65328 68050 74170 81660 89004 102075 108880 111255 118672 136100 148340 163320 178008 185425 204150 222510 272200 296680 326640 356016 370850 408300 445020 544400 556275 593360 741700 816600 890040 1112550 1483400 1633200 1780080 2225100 2966800 4450200 8900400 10094537 20189074 30283611 40378148 50472685 60567222 80756296 100945370 121134444 151418055 161512592 201890740 242268888 252363425 302836110 403781480 484537776 504726850 605672220 757090275 807562960 1009453700 1211344440 1514180550 2018907400 2422688880 3028361100 4037814800 6056722200 12113444400