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212141133441220 = 225373471753471283
BaseRepresentation
bin110000001111000011110100…
…111001101010100011000100
31000211010111100100011211011111
4300033003310321222203010
5210301210020130104340
62031104142531014404
762453456022642634
oct6017036471524304
91024114310154144
10212141133441220
116165a605357475
121b96245843a404
13914aa912cc819
143a559855966c4
15197d427470aea
hexc0f0f4e6a8c4

212141133441220 has 96 divisors (see below), whose sum is σ = 459118101391488. Its totient is φ = 82277964905472.

The previous prime is 212141133441203. The next prime is 212141133441227. The reversal of 212141133441220 is 22144331141212.

It is not an unprimeable number, because it can be changed into a prime (212141133441227) 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, 449899699 + ... + 450370981.

It is an arithmetic number, because the mean of its divisors is an integer number (4782480222828).

Almost surely, 2212141133441220 is an apocalyptic number.

212141133441220 is a gapful number since it is divisible by the number (20) 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 212141133441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229559050695744).

212141133441220 is an abundant number, since it is smaller than the sum of its proper divisors (246976967950268).

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

212141133441220 is a wasteful number, since it uses less digits than its factorization.

212141133441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473429 (or 473427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 212141133441220 its reverse (22144331141212), we get a palindrome (234285464582432).

The spelling of 212141133441220 in words is "two hundred twelve trillion, one hundred forty-one billion, one hundred thirty-three million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 347 370 694 740 1388 1735 1753 3470 3506 6940 7012 8765 12839 17530 25678 35060 51356 64195 64861 128390 129722 256780 259444 324305 471283 608291 648610 942566 1216582 1297220 1885132 2356415 2433164 3041455 4712830 6082910 9425660 12165820 17437471 22506767 34874942 45013534 69749884 87187355 90027068 112533835 163535201 174374710 225067670 327070402 348749420 450135340 654140804 817676005 826159099 1635352010 1652318198 3270704020 3304636396 4130795495 6050802437 8261590990 12101604874 16523181980 24203209748 30254012185 30567886663 60508024370 61135773326 121016048740 122271546652 152839433315 286677207353 305678866630 573354414706 611357733260 1146708829412 1433386036765 2866772073530 5733544147060 10607056672061 21214113344122 42428226688244 53035283360305 106070566720610 212141133441220