Search a number
-
+
12003100020012 = 2233534676067651
BaseRepresentation
bin1010111010101011000010…
…0000110100110100101100
31120111111002200022102210110
42232222300200310310230
53033124322101120022
641310051550140020
72346124002522513
oct256526040646454
946444080272713
1012003100020012
11390853904a812
12141a345ab1610
13690b6ca23a5a
142d6d4b5bd67a
1515c36517000c
hexaeab0834d2c

12003100020012 has 48 divisors (see below), whose sum is σ = 28146721180032. Its totient is φ = 3981155059200.

The previous prime is 12003100020011. The next prime is 12003100020017. The reversal of 12003100020012 is 21002000130021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12003100020012.

It is not an unprimeable number, because it can be changed into a prime (12003100020011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055614 + ... + 5012037.

It is an arithmetic number, because the mean of its divisors is an integer number (586390024584).

Almost surely, 212003100020012 is an apocalyptic number.

12003100020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12003100020012 is an abundant number, since it is smaller than the sum of its proper divisors (16143621160020).

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

12003100020012 is a wasteful number, since it uses less digits than its factorization.

12003100020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068478 (or 6068476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12003100020012 its reverse (21002000130021), we get a palindrome (33005100150033).

The spelling of 12003100020012 in words is "twelve trillion, three billion, one hundred million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 353 467 706 934 1059 1401 1412 1868 2118 2802 4236 5604 164851 329702 494553 659404 989106 1978212 6067651 12135302 18202953 24270604 36405906 72811812 2141880803 2833593017 4283761606 5667186034 6425642409 8500779051 8567523212 11334372068 12851284818 17001558102 25702569636 34003116204 1000258335001 2000516670002 3000775005003 4001033340004 6001550010006 12003100020012