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12022130232200 = 23521121493334109
BaseRepresentation
bin1010111011110001111011…
…0011010100101110001000
31120120022012221000101021002
42232330132303110232020
53033432310314412300
641322520153434132
72350366410616634
oct256743663245610
946508187011232
1012022130232200
113915614110900
121421b7710b948
136928b350bc3a
142d7c34b7ddc4
1515cacabc65d5
hexaef1ecd4b88

12022130232200 has 144 divisors (see below), whose sum is σ = 30929704942500. Its totient is φ = 4342342259200.

The previous prime is 12022130232179. The next prime is 12022130232209. The reversal of 12022130232200 is 223203122021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 783370146724 + 11238760085476 = 885082^2 + 3352426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12022130232209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1938746 + ... + 5272854.

Almost surely, 212022130232200 is an apocalyptic number.

12022130232200 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 12022130232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464852471250).

12022130232200 is an abundant number, since it is smaller than the sum of its proper divisors (18907574710300).

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

12022130232200 is a wasteful number, since it uses less digits than its factorization.

12022130232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334296 (or 3334276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12022130232200 its reverse (223203122021), we get a palindrome (12245333354221).

The spelling of 12022130232200 in words is "twelve trillion, twenty-two billion, one hundred thirty million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 149 200 220 242 275 298 440 484 550 596 605 745 968 1100 1192 1210 1490 1639 2200 2420 2980 3025 3278 3725 4840 5960 6050 6556 7450 8195 12100 13112 14900 16390 18029 24200 29800 32780 36058 40975 65560 72116 81950 90145 144232 163900 180290 327800 360580 450725 721160 901450 1802900 3334109 3605800 6668218 13336436 16670545 26672872 33341090 36675199 66682180 73350398 83352725 133364360 146700796 166705450 183375995 293401592 333410900 366751990 403427189 496782241 666821800 733503980 806854378 916879975 993564482 1467007960 1613708756 1833759950 1987128964 2017135945 2483911205 3227417512 3667519900 3974257928 4034271890 4967822410 5464604651 7335039800 8068543780 9935644820 10085679725 10929209302 12419556025 16137087560 19871289640 20171359450 21858418604 24839112050 27323023255 40342718900 43716837208 49678224100 54646046510 60110651161 80685437800 99356448200 109292093020 120221302322 136615116275 218584186040 240442604644 273230232550 300553255805 480885209288 546460465100 601106511610 1092920930200 1202213023220 1502766279025 2404426046440 3005532558050 6011065116100 12022130232200