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12221011012200 = 2335220368351687
BaseRepresentation
bin1011000111010110110100…
…0001010010101001101000
31121021022120021021210112220
42301311231001102221220
53100212112304342300
641554131023034040
72400640021430604
oct261655501225150
947238507253486
1012221011012200
1139919a112a4a1
12145461ba3b920
136a85899ab053
1430370035c504
15162d6ac69da0
hexb1d6d052a68

12221011012200 has 48 divisors (see below), whose sum is σ = 37885134139680. Its totient is φ = 3258936269760.

The previous prime is 12221011012193. The next prime is 12221011012207. The reversal of 12221011012200 is 221011012221.

It is an interprime number because it is at equal distance from previous prime (12221011012193) and next prime (12221011012207).

It is a super-2 number, since 2×122210110122002 (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 12221011012200.

It is not an unprimeable number, because it can be changed into a prime (12221011012207) 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, 10184175244 + ... + 10184176443.

It is an arithmetic number, because the mean of its divisors is an integer number (789273627910).

Almost surely, 212221011012200 is an apocalyptic number.

12221011012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221011012200 is an abundant number, since it is smaller than the sum of its proper divisors (25664123127480).

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

12221011012200 is a wasteful number, since it uses less digits than its factorization.

12221011012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20368351706 (or 20368351697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221011012200 its reverse (221011012221), we get a palindrome (12442022024421).

The spelling of 12221011012200 in words is "twelve trillion, two hundred twenty-one billion, eleven million, twelve 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 20368351687 40736703374 61105055061 81473406748 101841758435 122210110122 162946813496 203683516870 244420220244 305525275305 407367033740 488840440488 509208792175 611050550610 814734067480 1018417584350 1222101101220 1527626376525 2036835168700 2444202202440 3055252753050 4073670337400 6110505506100 12221011012200