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12010199976 = 23321818871039
BaseRepresentation
bin10110010111101110…
…10001101110101000
31011000000022101002100
423023313101232220
5144044102344401
65303432133400
7603424005165
oct131367215650
934000271070
1012010199976
115103499005
1223b2237260
1311952c6408
1481d11506c
154a45d7b86
hex2cbdd1ba8

12010199976 has 96 divisors (see below), whose sum is σ = 32775724800. Its totient is φ = 3972965760.

The previous prime is 12010199917. The next prime is 12010200031. The reversal of 12010199976 is 67999101021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11558865 + ... + 11559903.

It is an arithmetic number, because the mean of its divisors is an integer number (341413800).

Almost surely, 212010199976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010199976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387862400).

12010199976 is an abundant number, since it is smaller than the sum of its proper divisors (20765524824).

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

12010199976 is a wasteful number, since it uses less digits than its factorization.

12010199976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 12010199976 in words is "twelve billion, ten million, one hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 887 1039 1086 1448 1629 1774 2078 2172 2661 3117 3258 3548 4156 4344 5322 6234 6516 7096 7983 8312 9351 10644 12468 13032 15966 18702 21288 24936 31932 37404 63864 74808 160547 188059 321094 376118 481641 564177 642188 752236 921593 963282 1128354 1284376 1444923 1504472 1692531 1843186 1926564 2256708 2764779 2889846 3385062 3686372 3853128 4513416 5529558 5779692 6770124 7372744 8294337 11059116 11559384 13540248 16588674 22118232 33177348 66354696 166808333 333616666 500424999 667233332 1000849998 1334466664 1501274997 2001699996 3002549994 4003399992 6005099988 12010199976