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12113288400 = 2435229348083
BaseRepresentation
bin10110100100000001…
…00001110011010000
31011021012021210211010
423102000201303100
5144302000212100
65321553450520
7606115152423
oct132200416320
934235253733
1012113288400
1151566a9954
122420870a40
1311b077b895
1482caab9ba
154ad69c750
hex2d2021cd0

12113288400 has 120 divisors (see below), whose sum is σ = 40141046880. Its totient is φ = 3118814720.

The previous prime is 12113288393. The next prime is 12113288431. The reversal of 12113288400 is 488231121.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139242 + ... + 208841.

It is an arithmetic number, because the mean of its divisors is an integer number (334508724).

Almost surely, 212113288400 is an apocalyptic number.

12113288400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113288400 is an abundant number, since it is smaller than the sum of its proper divisors (28027758480).

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

12113288400 is a wasteful number, since it uses less digits than its factorization.

12113288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348133 (or 348122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 12113288400 in words is "twelve billion, one hundred thirteen million, two hundred eighty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 348083 696166 1044249 1392332 1740415 2088498 2784664 3480830 4176996 5221245 5569328 6961660 8353992 8702075 10094407 10442490 13923320 16707984 17404150 20188814 20884980 26106225 27846640 30283221 34808300 40377628 41769960 50472035 52212450 60566442 69616600 80755256 83539920 100944070 104424900 121132884 139233200 151416105 161510512 201888140 208849800 242265768 252360175 302832210 403776280 417699600 484531536 504720350 605664420 757080525 807552560 1009440700 1211328840 1514161050 2018881400 2422657680 3028322100 4037762800 6056644200 12113288400