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12000033000021 = 3117910146039901
BaseRepresentation
bin1010111010011111100110…
…1101000100101001010101
31120111012011221011200022110
42232213321231010221111
53033102031422000041
641304423345221233
72345655001344333
oct256477155045125
946435157150273
1012000033000021
113907204874250
12141982a931819
136907a14a5221
142d6b3a12cb53
1515c235c8d516
hexae9f9b44a55

12000033000021 has 64 divisors (see below), whose sum is σ = 17856224317440. Its totient is φ = 7107328800000.

The previous prime is 12000032999959. The next prime is 12000033000031.

It is a happy number.

12000033000021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12000033000021 - 214 = 12000032983637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000032999970 and 12000033000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000033000031) 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, 1211997171 + ... + 1212007071.

It is an arithmetic number, because the mean of its divisors is an integer number (279003504960).

Almost surely, 212000033000021 is an apocalyptic number.

12000033000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000033000021 is a deficient number, since it is larger than the sum of its proper divisors (5856191317419).

12000033000021 is a wasteful number, since it uses less digits than its factorization.

12000033000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 1200003 and 3000021, that added together give a palindrome (4200024).

The spelling of 12000033000021 in words is "twelve trillion, thirty-three million, twenty-one", and thus it is an aban number and an uban number.

Divisors: 1 3 11 33 79 101 237 303 869 1111 2607 3333 4603 7979 9901 13809 23937 29703 50633 87769 108911 151899 263307 326733 363637 464903 782179 1000001 1090911 1394709 2346537 3000003 4000007 5113933 8603969 11000011 12000021 15341799 25811907 33000033 36727337 45574303 79000079 110182011 136722909 237000237 404000707 501317333 869000869 1212002121 1503951999 2607002607 3600369937 4603004603 10801109811 13809013809 39604069307 50633050633 118812207921 151899151899 363637363637 1090912090911 4000011000007 12000033000021