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1230022221312 = 29319333112653
BaseRepresentation
bin10001111001100011000…
…010011001111000000000
311100120220100210222021010
4101321203002121320000
5130123041142040222
62341021525000520
7154603045242033
oct21714302317000
94316810728233
101230022221312
11434716528345
1217a477b53140
138bcb54602c1
14437678b901a
1521ee075380c
hex11e63099e00

1230022221312 has 160 divisors (see below), whose sum is σ = 3450630395520. Its totient is φ = 388280770560.

The previous prime is 1230022221277. The next prime is 1230022221319. The reversal of 1230022221312 is 2131222200321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230022221319) 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, 97205578 + ... + 97218230.

It is an arithmetic number, because the mean of its divisors is an integer number (21566439972).

Almost surely, 21230022221312 is an apocalyptic number.

1230022221312 is a gapful number since it is divisible by the number (12) 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 1230022221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725315197760).

1230022221312 is an abundant number, since it is smaller than the sum of its proper divisors (2220608174208).

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

1230022221312 is a wasteful number, since it uses less digits than its factorization.

1230022221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16024 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1230022221312 its reverse (2131222200321), we get a palindrome (3361244421633).

The spelling of 1230022221312 in words is "one trillion, two hundred thirty billion, twenty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3331 3648 4864 6662 7296 9728 9993 12653 13324 14592 19986 25306 26648 29184 37959 39972 50612 53296 63289 75918 79944 101224 106592 126578 151836 159888 189867 202448 213184 240407 253156 303672 319776 379734 404896 426368 480814 506312 607344 639552 721221 759468 809792 852736 961628 1012624 1214688 1279104 1442442 1518936 1619584 1705472 1923256 2025248 2429376 2558208 2884884 3037872 3239168 3846512 4050496 4858752 5116416 5769768 6075744 6478336 7693024 8100992 9717504 11539536 12151488 15386048 16201984 19435008 23079072 24302976 30772096 32403968 42147143 46158144 48605952 61544192 84294286 92316288 97211904 123088384 126441429 168588572 184632576 252882858 337177144 369265152 505765716 674354288 800795717 1011531432 1348708576 1601591434 2023062864 2402387151 2697417152 3203182868 4046125728 4804774302 5394834304 6406365736 8092251456 9609548604 10789668608 12812731472 16184502912 19219097208 21579337216 25625462944 32369005824 38438194416 51250925888 64738011648 76876388832 102501851776 153752777664 205003703552 307505555328 410007407104 615011110656 1230022221312