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1122020120200 = 235272613186773
BaseRepresentation
bin10000010100111101100…
…111000101011010001000
310222021010111210202221011
4100110331213011122020
5121340344122321300
62215240545053304
7144030463442500
oct20247547053210
93867114722834
101122020120200
113a293411a241
12161556327234
1381a62b532b5
143c43dba4a00
151e2bdc55eba
hex1053d9c5688

1122020120200 has 144 divisors (see below), whose sum is σ = 3039573150180. Its totient is φ = 384062999040.

The previous prime is 1122020120171. The next prime is 1122020120233. The reversal of 1122020120200 is 20210202211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8822093476 + 1113198026724 = 93926^2 + 1055082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5914014 + ... + 6100786.

Almost surely, 21122020120200 is an apocalyptic number.

1122020120200 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 1122020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519786575090).

1122020120200 is an abundant number, since it is smaller than the sum of its proper divisors (1917553029980).

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

1122020120200 is a wasteful number, since it uses less digits than its factorization.

1122020120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187416 (or 187400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1122020120200 its reverse (20210202211), we get a palindrome (1142230322411).

The spelling of 1122020120200 in words is "one trillion, one hundred twenty-two billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 613 700 980 1225 1226 1400 1960 2450 2452 3065 4291 4900 4904 6130 8582 9800 12260 15325 17164 21455 24520 30037 30650 34328 42910 60074 61300 85820 107275 120148 122600 150185 171640 186773 214550 240296 300370 373546 429100 600740 747092 750925 858200 933865 1201480 1307411 1494184 1501850 1867730 2614822 3003700 3735460 4669325 5229644 6007400 6537055 7470920 9151877 9338650 10459288 13074110 18303754 18677300 26148220 32685275 36607508 37354600 45759385 52296440 65370550 73215016 91518770 114491849 130741100 183037540 228796925 228983698 261482200 366075080 457593850 457967396 572459245 801442943 915187700 915934792 1144918490 1602885886 1830375400 2289836980 2862296225 3205771772 4007214715 4579673960 5610100601 5724592450 6411543544 8014429430 11220201202 11449184900 16028858860 20036073575 22440402404 22898369800 28050503005 32057717720 40072147150 44880804808 56101006010 80144294300 112202012020 140252515025 160288588600 224404024040 280505030050 561010060100 1122020120200