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12233020012032 = 29319419168723
BaseRepresentation
bin1011001000000011100011…
…0011111111011000000000
31121022110120012100012100110
42302000320303333120000
53100411211110341112
642003434413351320
72401543432310121
oct262007063773000
947273505305313
1012233020012032
113996aa3978846
121456a11798540
136a9751974101
1430411d240048
151633201b713c
hexb2038cff600

12233020012032 has 80 divisors (see below), whose sum is σ = 34304768372160. Its totient is φ = 3863058941952.

The previous prime is 12233020012021. The next prime is 12233020012133. The reversal of 12233020012032 is 23021002033221.

It is a happy number.

It is a super-2 number, since 2×122330200120322 (a number of 27 digits) contains 22 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 209555178 + ... + 209613545.

It is an arithmetic number, because the mean of its divisors is an integer number (428809604652).

Almost surely, 212233020012032 is an apocalyptic number.

12233020012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12233020012032 is an abundant number, since it is smaller than the sum of its proper divisors (22071748360128).

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

12233020012032 is an equidigital number, since it uses as much as digits as its factorization.

12233020012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419168763 (or 419168747 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12233020012032 its reverse (23021002033221), we get a palindrome (35254022045253).

The spelling of 12233020012032 in words is "twelve trillion, two hundred thirty-three billion, twenty million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 14592 29184 419168723 838337446 1257506169 1676674892 2515012338 3353349784 5030024676 6706699568 7964205737 10060049352 13413399136 15928411474 20120098704 23892617211 26826798272 31856822948 40240197408 47785234422 53653596544 63713645896 80480394816 95570468844 107307193088 127427291792 160960789632 191140937688 214614386176 254854583584 321921579264 382281875376 509709167168 643843158528 764563750752 1019418334336 1529127501504 2038836668672 3058255003008 4077673337344 6116510006016 12233020012032