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12199202500 = 2254474
BaseRepresentation
bin10110101110010000…
…10000111011000100
31011111011221200210211
423113020100323010
5144440443440000
65334303125204
7611210340022
oct132710207304
934434850724
1012199202500
1151a014a441
1224455a3804
1311c54ccb24
1483a273712
154b5ebd7ba
hex2d7210ec4

12199202500 has 75 divisors (see below), whose sum is σ = 27257155387. Its totient is φ = 4775858000.

The previous prime is 12199202471. The next prime is 12199202513. The reversal of 12199202500 is 520299121.

The square root of 12199202500 is 110450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 956417476 + 11242785024 = 30926^2 + 106032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=235.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 259557477 + ... + 259557523.

Almost surely, 212199202500 is an apocalyptic number.

12199202500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12199202500 is the 110450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12199202500

12199202500 is an abundant number, since it is smaller than the sum of its proper divisors (15057952887).

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

12199202500 is an frugal number, since it uses more digits than its factorization.

12199202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 12199202500 in words is "twelve billion, one hundred ninety-nine million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 625 940 1175 1250 2209 2350 2500 4418 4700 5875 8836 11045 11750 22090 23500 29375 44180 55225 58750 103823 110450 117500 207646 220900 276125 415292 519115 552250 1038230 1104500 1380625 2076460 2595575 2761250 4879681 5191150 5522500 9759362 10382300 12977875 19518724 24398405 25955750 48796810 51911500 64889375 97593620 121992025 129778750 243984050 259557500 487968100 609960125 1219920250 2439840500 3049800625 6099601250 12199202500