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12099900 = 2235253761
BaseRepresentation
bin101110001010…
…000100111100
3211202201221110
4232022010330
511044144100
61111202020
7204563451
oct56120474
924681843
1012099900
11691491a
124076310
132678607
14186d828
1510e0250
hexb8a13c

12099900 has 72 divisors (see below), whose sum is σ = 35716464. Its totient is φ = 3161600.

The previous prime is 12099883. The next prime is 12099907. The reversal of 12099900 is 999021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12099907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15520 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (496062).

Almost surely, 212099900 is an apocalyptic number.

12099900 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 12099900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858232).

12099900 is an abundant number, since it is smaller than the sum of its proper divisors (23616564).

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

12099900 is a wasteful number, since it uses less digits than its factorization.

12099900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 12099900 is about 3478.4910521662. The cubic root of 12099900 is about 229.5764100212.

The spelling of 12099900 in words is "twelve million, ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 761 795 1060 1325 1522 1590 2283 2650 3044 3180 3805 3975 4566 5300 7610 7950 9132 11415 15220 15900 19025 22830 38050 40333 45660 57075 76100 80666 114150 120999 161332 201665 228300 241998 403330 483996 604995 806660 1008325 1209990 2016650 2419980 3024975 4033300 6049950 12099900