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12299031800 = 2352117121109
BaseRepresentation
bin10110111010001010…
…00101010011111000
31011202010210112212022
423131011011103320
5200142023004200
65352230534012
7613532021366
oct133505052370
934663715768
1012299031800
1152415346a0
122472b07308
1312100b3a13
1484961c636
154beb3c885
hex2dd1454f8

12299031800 has 144 divisors (see below), whose sum is σ = 31668899400. Its totient is φ = 4405408000.

The previous prime is 12299031793. The next prime is 12299031821. The reversal of 12299031800 is 813099221.

12299031800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1109012-1.

It is a super-2 number, since 2×122990318002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11089646 + ... + 11090754.

Almost surely, 212299031800 is an apocalyptic number.

12299031800 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 12299031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834449700).

12299031800 is an abundant number, since it is smaller than the sum of its proper divisors (19369867600).

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

12299031800 is a wasteful number, since it uses less digits than its factorization.

12299031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 12299031800 in words is "twelve billion, two hundred ninety-nine million, thirty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 142 200 220 275 284 355 440 550 568 710 781 1100 1109 1420 1562 1775 2200 2218 2840 3124 3550 3905 4436 5041 5545 6248 7100 7810 8872 10082 11090 12199 14200 15620 19525 20164 22180 24398 25205 27725 31240 39050 40328 44360 48796 50410 55450 55451 60995 78100 78739 97592 100820 110900 110902 121990 126025 156200 157478 201640 221800 221804 243980 252050 277255 304975 314956 393695 443608 487960 504100 554510 609950 629912 787390 866129 1008200 1109020 1219900 1386275 1574780 1732258 1968475 2218040 2439800 2772550 3149560 3464516 3936950 4330645 5545100 5590469 6929032 7873900 8661290 11090200 11180938 15747800 17322580 21653225 22361876 27952345 34645160 43306450 44723752 55904690 61495159 86612900 111809380 122990318 139761725 173225800 223618760 245980636 279523450 307475795 491961272 559046900 614951590 1118093800 1229903180 1537378975 2459806360 3074757950 6149515900 12299031800