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12013301400 = 23352161312413
BaseRepresentation
bin10110011000000110…
…00110111010011000
31011000020010221102220
423030003012322120
5144100401121100
65304022424040
7603462243222
oct131403067230
934006127386
1012013301400
115105217171
1223b3292020
131195b40c89
1481d6c1412
154a49ebaa0
hex2cc0c6e98

12013301400 has 96 divisors (see below), whose sum is σ = 37267324560. Its totient is φ = 3201303040.

The previous prime is 12013301371. The next prime is 12013301407. The reversal of 12013301400 is 410331021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12013301400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013301407) 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, 961594 + ... + 974006.

Almost surely, 212013301400 is an apocalyptic number.

12013301400 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 12013301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633662280).

12013301400 is an abundant number, since it is smaller than the sum of its proper divisors (25254023160).

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

12013301400 is a wasteful number, since it uses less digits than its factorization.

12013301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14045 (or 14036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12013301400 its reverse (410331021), we get a palindrome (12423632421).

The spelling of 12013301400 in words is "twelve billion, thirteen million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1613 3226 4839 6452 8065 9678 12413 12904 16130 19356 24195 24826 32260 37239 38712 40325 48390 49652 62065 64520 74478 80650 96780 99304 120975 124130 148956 161300 186195 193560 241950 248260 297912 310325 322600 372390 483900 496520 620650 744780 930975 967800 1241300 1489560 1861950 2482600 3723900 7447800 20022169 40044338 60066507 80088676 100110845 120133014 160177352 200221690 240266028 300332535 400443380 480532056 500554225 600665070 800886760 1001108450 1201330140 1501662675 2002216900 2402660280 3003325350 4004433800 6006650700 12013301400