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12033001331022 = 2372341614980617
BaseRepresentation
bin1010111100011010011011…
…0001010001100101001110
31120121100021112220102022210
42233012212301101211032
53034122041320043042
641331515015051250
72351232663466410
oct257064661214516
946540245812283
1012033001331022
11391a1926082a1
1214240ab970b26
13693926813ca9
142d85868989b0
1515d0152a2a9c
hexaf1a6c5194e

12033001331022 has 128 divisors (see below), whose sum is σ = 29881795442688. Its totient is φ = 3155718297600.

The previous prime is 12033001330979. The next prime is 12033001331027. The reversal of 12033001331022 is 22013310033021.

12033001331022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12033001331022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033001331027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74343 + ... + 4906274.

It is an arithmetic number, because the mean of its divisors is an integer number (233451526896).

Almost surely, 212033001331022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033001331022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940897721344).

12033001331022 is an abundant number, since it is smaller than the sum of its proper divisors (17848794111666).

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

12033001331022 is a wasteful number, since it uses less digits than its factorization.

12033001331022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980754.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12033001331022 its reverse (22013310033021), we get a palindrome (34046311364043).

The spelling of 12033001331022 in words is "twelve trillion, thirty-three billion, one million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 61 69 82 122 123 138 161 183 246 287 322 366 427 483 574 854 861 943 966 1281 1403 1722 1886 2501 2562 2806 2829 4209 5002 5658 6601 7503 8418 9821 13202 15006 17507 19642 19803 29463 35014 39606 52521 57523 58926 105042 115046 172569 345138 402661 805322 1207983 2415966 4980617 9961234 14941851 29883702 34864319 69728638 104592957 114554191 204205297 209185914 229108382 303817637 343662573 408410594 607635274 612615891 687325146 801879337 911452911 1225231782 1429437079 1603758674 1822905822 2126723459 2405638011 2858874158 4253446918 4288311237 4696721831 4811276022 6380170377 6987805651 8576622474 9393443662 12456523117 12760340754 13975611302 14090165493 20963416953 24913046234 28180330986 32877052817 37369569351 41926833906 48914639557 65754105634 74739138702 87195661819 97829279114 98631158451 146743918671 174391323638 197262316902 261586985457 286500031691 293487837342 523173970914 573000063382 859500095073 1719000190146 2005500221837 4011000443674 6016500665511 12033001331022