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20112121201212 = 223237521216113411
BaseRepresentation
bin1001001001010101101111…
…10101110000001000111100
32122012200220022021200001200
410210222313311300020330
510114004111011414322
6110435214140335500
74144024053350265
oct444526765601074
978180808250050
1020112121201212
116454559106aa7
122309a44844590
13b2b7460b2891
144d760904996c
1524d2682d28ac
hex124ab7d7023c

20112121201212 has 144 divisors (see below), whose sum is σ = 52341326672544. Its totient is φ = 6506832384000.

The previous prime is 20112121201169. The next prime is 20112121201241. The reversal of 20112121201212 is 21210212121102.

20112121201212 is a `hidden beast` number, since 20 + 112 + 121 + 201 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499666787 + ... + 1499680197.

It is an arithmetic number, because the mean of its divisors is an integer number (363481435226).

Almost surely, 220112121201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112121201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26170663336272).

20112121201212 is an abundant number, since it is smaller than the sum of its proper divisors (32229205471332).

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

20112121201212 is a wasteful number, since it uses less digits than its factorization.

20112121201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16140 (or 16135 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20112121201212 its reverse (21210212121102), we get a palindrome (41322333322314).

The spelling of 20112121201212 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-one million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 521 666 1042 1332 1563 2084 2161 3126 4322 4689 6252 6483 8644 9378 12966 13411 18756 19277 19449 25932 26822 38554 38898 40233 53644 57831 77108 77796 79957 80466 115662 120699 159914 160932 173493 231324 239871 241398 319828 346986 479742 482796 496207 693972 719613 959484 992414 1125881 1439226 1488621 1984828 2251762 2878452 2977242 3377643 4465863 4503524 5954484 6755286 6987131 8931726 10132929 13510572 13974262 17863452 20265858 20961393 27948524 28981171 40531716 41657597 41922786 57962342 62884179 83315194 83845572 86943513 115924684 124972791 125768358 166630388 173887026 249945582 251536716 258523847 260830539 347774052 374918373 499891164 517047694 521661078 749836746 775571541 1034095388 1043322156 1072303327 1499673492 1551143082 2144606654 2326714623 3102286164 3216909981 4289213308 4653429246 6433819962 9306858492 9650729943 12867639924 15099190091 19301459886 30198380182 38602919772 45297570273 60396760364 90595140546 135892710819 181190281092 271785421638 543570843276 558670033367 1117340066734 1676010100101 2234680133468 3352020200202 5028030300303 6704040400404 10056060600606 20112121201212