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12122000102096 = 2417335312406049
BaseRepresentation
bin1011000001100101111110…
…0000101001001011010000
31120220212000000210102120022
42300121133200221023100
53042101324011231341
641440434151403012
72360533314533243
oct260313740511320
946825000712508
1012122000102096
113953a03046265
1214393a9383468
1369c13b088901
142dc9ca80925a
151604c37a8e4b
hexb065f8292d0

12122000102096 has 40 divisors (see below), whose sum is σ = 23689054729800. Its totient is φ = 6008894160896.

The previous prime is 12122000102057. The next prime is 12122000102101. The reversal of 12122000102096 is 69020100022121.

It can be written as a sum of positive squares in 4 ways, for example, as 1453519584400 + 10668480517696 = 1205620^2 + 3266264^2 .

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, 5225921 + ... + 7180128.

It is an arithmetic number, because the mean of its divisors is an integer number (592226368245).

Almost surely, 212122000102096 is an apocalyptic number.

12122000102096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12122000102096 is a deficient number, since it is larger than the sum of its proper divisors (11567054627704).

12122000102096 is a wasteful number, since it uses less digits than its factorization.

12122000102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406583 (or 12406577 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 12122000102096 in words is "twelve trillion, one hundred twenty-two billion, one hundred two thousand, ninety-six".

Divisors: 1 2 4 8 16 173 346 353 692 706 1384 1412 2768 2824 5648 61069 122138 244276 488552 977104 12406049 24812098 49624196 99248392 198496784 2146246477 4292492954 4379335297 8584985908 8758670594 17169971816 17517341188 34339943632 35034682376 70069364752 757625006381 1515250012762 3030500025524 6061000051048 12122000102096