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12102213400 = 2352198338371
BaseRepresentation
bin10110100010101100…
…10001111100011000
31011020102110010202221
423101112101330120
5144241131312100
65320520233424
7605622054664
oct132126217430
934212403687
1012102213400
115150425062
12241900b874
1311ab3a1924
1482b4278a4
154ac71101a
hex2d1591f18

12102213400 has 96 divisors (see below), whose sum is σ = 29976206400. Its totient is φ = 4530729600.

The previous prime is 12102213379. The next prime is 12102213407. The reversal of 12102213400 is 431220121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102213407) 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, 296215 + ... + 334585.

It is an arithmetic number, because the mean of its divisors is an integer number (312252150).

Almost surely, 212102213400 is an apocalyptic number.

12102213400 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 12102213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988103200).

12102213400 is an abundant number, since it is smaller than the sum of its proper divisors (17873993000).

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

12102213400 is a wasteful number, since it uses less digits than its factorization.

12102213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38489 (or 38480 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12102213400 its reverse (431220121), we get a palindrome (12533433521).

The spelling of 12102213400 in words is "twelve billion, one hundred two million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 83 95 100 152 166 190 200 332 380 415 475 664 760 830 950 1577 1660 1900 2075 3154 3320 3800 4150 6308 7885 8300 12616 15770 16600 31540 38371 39425 63080 76742 78850 153484 157700 191855 306968 315400 383710 729049 767420 959275 1458098 1534840 1918550 2916196 3184793 3645245 3837100 5832392 6369586 7290490 7674200 12739172 14580980 15923965 18226225 25478344 29161960 31847930 36452450 60511067 63695860 72904900 79619825 121022134 127391720 145809800 159239650 242044268 302555335 318479300 484088536 605110670 636958600 1210221340 1512776675 2420442680 3025553350 6051106700 12102213400