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12010202032200 = 2335220017003387
BaseRepresentation
bin1010111011000101011111…
…0100110110100001001000
31120112011102122000000222220
42232301113310312201020
53033233343210012300
641313224411014040
72346465000604431
oct256612764664110
946464378000886
1012010202032200
113910552a3a679
12141b7a843a320
136917321c6328
142d74228d2488
1515c62d8d9da0
hexaec57d36848

12010202032200 has 48 divisors (see below), whose sum is σ = 37231626301680. Its totient is φ = 3202720541760.

The previous prime is 12010202032193. The next prime is 12010202032207. The reversal of 12010202032200 is 223020201021.

It is a happy number.

12010202032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12010202032193) and next prime (12010202032207).

It is a super-2 number, since 2×120102020322002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12010202032200.

It is not an unprimeable number, because it can be changed into a prime (12010202032207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10008501094 + ... + 10008502293.

It is an arithmetic number, because the mean of its divisors is an integer number (775658881285).

Almost surely, 212010202032200 is an apocalyptic number.

12010202032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010202032200 is an abundant number, since it is smaller than the sum of its proper divisors (25221424269480).

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

12010202032200 is a wasteful number, since it uses less digits than its factorization.

12010202032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20017003406 (or 20017003397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12010202032200 its reverse (223020201021), we get a palindrome (12233222233221).

The spelling of 12010202032200 in words is "twelve trillion, ten billion, two hundred two million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20017003387 40034006774 60051010161 80068013548 100085016935 120102020322 160136027096 200170033870 240204040644 300255050805 400340067740 480408081288 500425084675 600510101610 800680135480 1000850169350 1201020203220 1501275254025 2001700338700 2402040406440 3002550508050 4003400677400 6005101016100 12010202032200