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12003121231232 = 27318933988541
BaseRepresentation
bin1010111010101011000111…
…0001101111010110000000
31120111111011011020002010012
42232222301301233112000
53033124343013344412
641310054024524052
72346124351025015
oct256526161572600
946444134202105
1012003121231232
11390854a01804a
12141a351020628
13690b7423c581
142d6d5034170c
1515c366e5ec22
hexaeab1c6f580

12003121231232 has 64 divisors (see below), whose sum is σ = 24961185244800. Its totient is φ = 5742703718400.

The previous prime is 12003121231223. The next prime is 12003121231271. The reversal of 12003121231232 is 23213212130021.

12003121231232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120031212312322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12003121231198 and 12003121231207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16641119 + ... + 17347422.

It is an arithmetic number, because the mean of its divisors is an integer number (390018519450).

Almost surely, 212003121231232 is an apocalyptic number.

It is an amenable number.

12003121231232 is an abundant number, since it is smaller than the sum of its proper divisors (12958064013568).

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

12003121231232 is an equidigital number, since it uses as much as digits as its factorization.

12003121231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33988675 (or 33988663 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12003121231232 its reverse (23213212130021), we get a palindrome (35216333361253).

The spelling of 12003121231232 in words is "twelve trillion, three billion, one hundred twenty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 128 178 248 356 496 712 992 1424 1984 2759 2848 3968 5518 5696 11036 11392 22072 44144 88288 176576 353152 33988541 67977082 135954164 271908328 543816656 1053644771 1087633312 2107289542 2175266624 3024980149 4214579084 4350533248 6049960298 8429158168 12099920596 16858316336 24199841192 33716632672 48399682384 67433265344 93774384619 96799364768 134866530688 187548769238 193598729536 375097538476 387197459072 750195076952 1500390153904 3000780307808 6001560615616 12003121231232