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12220102112000 = 28531722463423
BaseRepresentation
bin1011000111010011011011…
…0110000111001100000000
31121021020012221000212212112
42301310312312013030000
53100203232120041000
641553500514114452
72400605344053026
oct261646666071400
947236187025775
1012220102112000
113991575079302
12145440757ba28
136a84735b9593
14303655766716
15162d16081235
hexb1d36d87300

12220102112000 has 144 divisors (see below), whose sum is σ = 32232497536512. Its totient is φ = 4600508825600.

The previous prime is 12220102111957. The next prime is 12220102112003. The reversal of 12220102112000 is 21120102221.

It is not an unprimeable number, because it can be changed into a prime (12220102112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10687712 + ... + 11775711.

It is an arithmetic number, because the mean of its divisors is an integer number (223836788448).

Almost surely, 212220102112000 is an apocalyptic number.

12220102112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220102112000 is an abundant number, since it is smaller than the sum of its proper divisors (20012395424512).

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

12220102112000 is an equidigital number, since it uses as much as digits as its factorization.

12220102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22463471 (or 22463447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220102112000 its reverse (21120102221), we get a palindrome (12241222214221).

The spelling of 12220102112000 in words is "twelve trillion, two hundred twenty billion, one hundred two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1280 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 4352 5440 6400 6800 8000 8500 10880 13600 16000 17000 21760 27200 32000 34000 54400 68000 108800 136000 272000 544000 22463423 44926846 89853692 112317115 179707384 224634230 359414768 381878191 449268460 561585575 718829536 763756382 898536920 1123171150 1437659072 1527512764 1797073840 1909390955 2246342300 2807927875 2875318144 3055025528 3594147680 3818781910 4492684600 5615855750 5750636288 6110051056 7188295360 7637563820 8985369200 9546954775 11231711500 12220102112 14376590720 15275127640 17970738400 19093909550 22463423000 24440204224 28753181440 30550255280 35941476800 38187819100 44926846000 47734773875 48880408448 61100510560 71882953600 76375638200 89853692000 95469547750 97760816896 122201021120 143765907200 152751276400 179707384000 190939095500 244402042240 305502552800 359414768000 381878191000 488804084480 611005105600 718829536000 763756382000 1222010211200 1527512764000 2444020422400 3055025528000 6110051056000 12220102112000