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12052420400 = 2452713471223
BaseRepresentation
bin10110011100110000…
…10101011100110000
31011002221202101121202
423032120111130300
5144140404423100
65311541110332
7604445611616
oct131630253460
934087671552
1012052420400
115125305919
1224043b83a8
1311a0c89807
148249856b6
154a81777d5
hex2ce615730

12052420400 has 120 divisors (see below), whose sum is σ = 29472470784. Its totient is φ = 4735494400.

The previous prime is 12052420339. The next prime is 12052420447. The reversal of 12052420400 is 402425021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9854189 + ... + 9855411.

Almost surely, 212052420400 is an apocalyptic number.

12052420400 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 12052420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736235392).

12052420400 is an abundant number, since it is smaller than the sum of its proper divisors (17420050384).

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

12052420400 is a wasteful number, since it uses less digits than its factorization.

12052420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12052420400 its reverse (402425021), we get a palindrome (12454845421).

The spelling of 12052420400 in words is "twelve billion, fifty-two million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 347 355 400 568 694 710 1136 1223 1388 1420 1735 1775 2446 2776 2840 3470 3550 4892 5552 5680 6115 6940 7100 8675 9784 12230 13880 14200 17350 19568 24460 24637 27760 28400 30575 34700 48920 49274 61150 69400 86833 97840 98548 122300 123185 138800 173666 197096 244600 246370 347332 394192 424381 434165 489200 492740 615925 694664 848762 868330 985480 1231850 1389328 1697524 1736660 1970960 2121905 2170825 2463700 3395048 3473320 4243810 4341650 4927400 6790096 6946640 8487620 8683300 9854800 10609525 16975240 17366600 21219050 30131051 33950480 34733200 42438100 60262102 84876200 120524204 150655255 169752400 241048408 301310510 482096816 602621020 753276275 1205242040 1506552550 2410484080 3013105100 6026210200 12052420400