Search a number
-
+
12012210021000 = 23353741911091231
BaseRepresentation
bin1010111011001100111110…
…0000101110001010001000
31120112100121120101102210110
42232303033200232022020
53033302001231133000
641314155541114320
72346565522331250
oct256631740561210
946470546342713
1012012210021000
113911393443352
1214200689b89a0
13691992209997
142d757346a960
1515c6e9d29850
hexaeccf82e288

12012210021000 has 512 divisors, whose sum is σ = 43007956992000. Its totient is φ = 2734402176000.

The previous prime is 12012210020989. The next prime is 12012210021047. The reversal of 12012210021000 is 12001221021.

It is a super-2 number, since 2×120122100210002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9758090385 + ... + 9758091615.

It is an arithmetic number, because the mean of its divisors is an integer number (83999916000).

Almost surely, 212012210021000 is an apocalyptic number.

12012210021000 is a gapful number since it is divisible by the number (10) 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 12012210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503978496000).

12012210021000 is an abundant number, since it is smaller than the sum of its proper divisors (30995746971000).

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

12012210021000 is a wasteful number, since it uses less digits than its factorization.

12012210021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012210021000 its reverse (12001221021), we get a palindrome (12024211242021).

The spelling of 12012210021000 in words is "twelve trillion, twelve billion, two hundred ten million, twenty-one thousand".