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12011310220200 = 2335289224930903
BaseRepresentation
bin1010111011001001100111…
…1000010000001110101000
31120112021021212020211010220
42232302121320100032220
53033243130404021300
641313530355210040
72346534315212304
oct256623170201650
946467255224126
1012011310220200
113910a71537725
12141ba575a6920
1369187a982b85
142d74c9b62d04
1515c695d3bda0
hexaec99e103a8

12011310220200 has 96 divisors (see below), whose sum is σ = 37653433329600. Its totient is φ = 3167027100160.

The previous prime is 12011310220199. The next prime is 12011310220201. The reversal of 12011310220200 is 202201311021.

It is an interprime number because it is at equal distance from previous prime (12011310220199) and next prime (12011310220201).

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 12011310220200.

It is not an unprimeable number, because it can be changed into a prime (12011310220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112412052 + ... + 112518851.

It is an arithmetic number, because the mean of its divisors is an integer number (392223263850).

Almost surely, 212011310220200 is an apocalyptic number.

12011310220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011310220200 is an abundant number, since it is smaller than the sum of its proper divisors (25642123109400).

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

12011310220200 is a wasteful number, since it uses less digits than its factorization.

12011310220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224931011 (or 224931002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12011310220200 its reverse (202201311021), we get a palindrome (12213511531221).

The spelling of 12011310220200 in words is "twelve trillion, eleven billion, three hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 53400 224930903 449861806 674792709 899723612 1124654515 1349585418 1799447224 2249309030 2699170836 3373963545 4498618060 5398341672 5623272575 6747927090 8997236120 11246545150 13495854180 16869817725 20018850367 22493090300 26991708360 33739635450 40037700734 44986180600 60056551101 67479270900 80075401468 100094251835 120113102202 134958541800 160150802936 200188503670 240226204404 300282755505 400377007340 480452408808 500471259175 600565511010 800754014680 1000942518350 1201131022020 1501413777525 2001885036700 2402262044040 3002827555050 4003770073400 6005655110100 12011310220200