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22133012211212 = 22729439142343633
BaseRepresentation
bin1010000100001001111100…
…10101001010011000001100
32220100220011200020210012212
411002010332111022120030
510400111402111224322
6115023433200245552
74443025450456130
oct502047625123014
986326150223185
1022133012211212
117063615428901
1225956390108b8
13c471987bb316
1456735a27b3c0
15285ae537e0e2
hex14213e54a60c

22133012211212 has 96 divisors (see below), whose sum is σ = 45930055987200. Its totient is φ = 9130994998272.

The previous prime is 22133012211187. The next prime is 22133012211217. The reversal of 22133012211212 is 21211221033122.

It is not an unprimeable number, because it can be changed into a prime (22133012211217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507232148 + ... + 507275780.

It is an arithmetic number, because the mean of its divisors is an integer number (478438083200).

Almost surely, 222133012211212 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 22133012211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22965027993600).

22133012211212 is an abundant number, since it is smaller than the sum of its proper divisors (23797043775988).

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

22133012211212 is a wasteful number, since it uses less digits than its factorization.

22133012211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45535 (or 45533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 22133012211212 its reverse (21211221033122), we get a palindrome (43344233244334).

The spelling of 22133012211212 in words is "twenty-two trillion, one hundred thirty-three billion, twelve million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 439 812 878 1423 1756 2846 3073 5692 6146 9961 12292 12731 19922 25462 39844 41267 43633 50924 82534 87266 89117 165068 174532 178234 288869 305431 356468 577738 610862 624697 1155476 1221724 1249394 1265357 2498788 2530714 4372879 5061428 8745758 8857499 17491516 17714998 18116213 19154887 35429996 36232426 38309774 62089759 72464852 76619548 124179518 126813491 134084209 248359036 253626982 268168418 434628313 507253964 536336836 555491723 869256626 1110983446 1738513252 1800603011 2221966892 3601206022 3888442061 7202412044 7776884122 12604221077 15553768244 25208442154 27257404201 50416884308 54514808402 109029616804 190801829407 381603658814 763207317628 790464721829 1580929443658 3161858887316 5533253052803 11066506105606 22133012211212