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12122021052 = 223219179181547
BaseRepresentation
bin10110100101000011…
…10101110010111100
31011021210201110202200
423102201311302330
5144311214133202
65322504551500
7606252323151
oct132241656274
934253643680
1012122021052
115160623919
122423782590
1311b251862b
1482dd02228
154ae324e1c
hex2d2875cbc

12122021052 has 144 divisors (see below), whose sum is σ = 32673513600. Its totient is φ = 3778669440.

The previous prime is 12122021017. The next prime is 12122021053. The reversal of 12122021052 is 25012022121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122021053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22160643 + ... + 22161189.

It is an arithmetic number, because the mean of its divisors is an integer number (226899400).

Almost surely, 212122021052 is an apocalyptic number.

12122021052 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 12122021052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336756800).

12122021052 is an abundant number, since it is smaller than the sum of its proper divisors (20551492548).

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

12122021052 is a wasteful number, since it uses less digits than its factorization.

12122021052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12122021052 its reverse (25012022121), we get a palindrome (37134043173).

The spelling of 12122021052 in words is "twelve billion, one hundred twenty-two million, twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 179 181 228 342 358 362 537 543 547 684 716 724 1074 1086 1094 1611 1629 1641 2148 2172 2188 3222 3258 3282 3401 3439 4923 6444 6516 6564 6802 6878 9846 10203 10317 10393 13604 13756 19692 20406 20634 20786 30609 30951 31179 32399 40812 41268 41572 61218 61902 62358 64798 93537 97197 97913 99007 122436 123804 124716 129596 187074 194394 195826 198014 291591 293739 297021 374148 388788 391652 396028 583182 587478 594042 615581 881217 891063 1166364 1174956 1188084 1231162 1762434 1782126 1846743 1860347 1881133 2462324 3524868 3564252 3693486 3720694 3762266 5540229 5581041 5643399 7386972 7441388 7524532 11080458 11162082 11286798 16743123 16930197 17722253 22160916 22324164 22573596 33486246 33860394 35444506 53166759 66972492 67720788 70889012 106333518 159500277 212667036 319000554 336722807 638001108 673445614 1010168421 1346891228 2020336842 3030505263 4040673684 6061010526 12122021052