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12990930012 = 2234231799739
BaseRepresentation
bin11000001100101000…
…11101110001011100
31020112100201121210000
430012110131301130
5203101134230022
65545024414300
7636633040344
oct140624356134
936470647700
1012990930012
11556704aaa5
122626777390
1312c0547548
148b3487d24
1551075e6ac
hex30651dc5c

12990930012 has 120 divisors (see below), whose sum is σ = 35639049600. Its totient is φ = 4118472864.

The previous prime is 12990929977. The next prime is 12990930019. The reversal of 12990930012 is 21003909921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12990930019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1329039 + ... + 1338777.

It is an arithmetic number, because the mean of its divisors is an integer number (296992080).

Almost surely, 212990930012 is an apocalyptic number.

12990930012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990930012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819524800).

12990930012 is an abundant number, since it is smaller than the sum of its proper divisors (22648119588).

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

12990930012 is a wasteful number, since it uses less digits than its factorization.

12990930012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 12990930012 in words is "twelve billion, nine hundred ninety million, nine hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 179 207 276 324 358 414 537 621 716 828 1074 1242 1611 1863 2148 2484 3222 3726 4117 4833 6444 7452 8234 9666 9739 12351 14499 16468 19332 19478 24702 28998 29217 37053 38956 49404 57996 58434 74106 87651 111159 116868 148212 175302 222318 223997 262953 333477 350604 444636 447994 525906 666954 671991 788859 895988 1051812 1333908 1343982 1577718 1743281 2015973 2687964 3155436 3486562 4031946 5229843 6047919 6973124 8063892 10459686 12095838 15689529 18143757 20919372 24191676 31379058 36287514 40095463 47068587 62758116 72575028 80190926 94137174 120286389 141205761 160381852 188274348 240572778 282411522 360859167 481145556 564823044 721718334 1082577501 1443436668 2165155002 3247732503 4330310004 6495465006 12990930012