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1002122000012 = 22731264157781
BaseRepresentation
bin11101001010100110010…
…00000011011010001100
310112210122121100012021002
432211103020003122030
5112404321213000022
62044211332155432
7132254342312000
oct16452310033214
93483577305232
101002122000012
11356aa781aa11
12142274768b78
1373665aba253
14367081bc700
151b102bc7092
hexe95320368c

1002122000012 has 48 divisors (see below), whose sum is σ = 2045344123200. Its totient is φ = 429439449600.

The previous prime is 1002122000003. The next prime is 1002122000027. The reversal of 1002122000012 is 2100002212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002121999957 and 1002122000002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17314562 + ... + 17372342.

It is an arithmetic number, because the mean of its divisors is an integer number (42611335900).

Almost surely, 21002122000012 is an apocalyptic number.

It is an amenable number.

1002122000012 is an abundant number, since it is smaller than the sum of its proper divisors (1043222123188).

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

1002122000012 is a wasteful number, since it uses less digits than its factorization.

1002122000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70447 (or 70431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002122000012 its reverse (2100002212001), we get a palindrome (3102124212013).

The spelling of 1002122000012 in words is "one trillion, two billion, one hundred twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 12641 25282 50564 57781 88487 115562 176974 231124 353948 404467 619409 808934 1238818 1617868 2477636 2831269 4335863 5662538 8671726 11325076 17343452 19818883 39637766 79275532 730409621 1460819242 2921638484 5112867347 10225734694 20451469388 35790071429 71580142858 143160285716 250530500003 501061000006 1002122000012