Search a number
-
+
12121002211010 = 2571119243605433
BaseRepresentation
bin1011000001100010010000…
…0001111111011011000010
31120220202102111002022100012
42300120210001333123002
53042042303031223020
641440151143224522
72360466506564630
oct260304401773302
946822374068305
1012121002211010
113953540832990
12143916b148142
1369c00c409604
142dc93408a350
15160465d927c5
hexb062407f6c2

12121002211010 has 96 divisors (see below), whose sum is σ = 28708422371712. Its totient is φ = 3579133858560.

The previous prime is 12121002211009. The next prime is 12121002211033. The reversal of 12121002211010 is 1011220012121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21524747 + ... + 22080686.

It is an arithmetic number, because the mean of its divisors is an integer number (299046066372).

Almost surely, 212121002211010 is an apocalyptic number.

12121002211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121002211010 is an abundant number, since it is smaller than the sum of its proper divisors (16587420160702).

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

12121002211010 is a wasteful number, since it uses less digits than its factorization.

12121002211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43605496 (or 43605477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121002211010 its reverse (1011220012121), we get a palindrome (13132222223131).

The spelling of 12121002211010 in words is "twelve trillion, one hundred twenty-one billion, two million, two hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 361 385 418 665 722 770 1045 1330 1463 1805 2090 2527 2926 3610 3971 5054 7315 7942 12635 14630 19855 25270 27797 39710 55594 138985 277970 43605433 87210866 218027165 305238031 436054330 479659763 610476062 828503227 959319526 1526190155 1657006454 2398298815 3052380310 3357618341 4142516135 4796597630 5799522589 6715236682 8285032270 9113535497 11599045178 15741561313 16788091705 18227070994 28997612945 31483122626 33576183410 45567677485 57995225890 63794748479 78707806565 91135354970 110190929191 127589496958 157415613130 173157174443 220381858382 318973742395 346314348886 550954645955 637947484790 865785872215 1101909291910 1212100221101 1731571744430 2424200442202 6060501105505 12121002211010