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12121030031211 = 3315173319992029
BaseRepresentation
bin1011000001100010010110…
…1100000111011101101011
31120220202111102102201111000
42300120211230013131223
53042042332141444321
641440154015410043
72360500265214243
oct260304554073553
946822442381430
1012121030031211
113953555504692
121439178523923
1369c0150ca37a
142dc937a4cb23
1516046853a826
hexb0625b0776b

12121030031211 has 64 divisors (see below), whose sum is σ = 18118643200000. Its totient is φ = 8008262121600.

The previous prime is 12121030031203. The next prime is 12121030031269. The reversal of 12121030031211 is 11213003012121.

12121030031211 is a `hidden beast` number, since 1 + 2 + 121 + 0 + 300 + 31 + 211 = 666.

12121030031211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121030031211 - 23 = 12121030031203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121030031111) 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, 5973892545 + ... + 5973894573.

It is an arithmetic number, because the mean of its divisors is an integer number (283103800000).

Almost surely, 212121030031211 is an apocalyptic number.

12121030031211 is a deficient number, since it is larger than the sum of its proper divisors (5997613168789).

12121030031211 is a wasteful number, since it uses less digits than its factorization.

12121030031211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12121030031211 its reverse (11213003012121), we get a palindrome (23334033043332).

The spelling of 12121030031211 in words is "twelve trillion, one hundred twenty-one billion, thirty million, thirty-one thousand, two hundred eleven".

Divisors: 1 3 9 27 151 453 733 1359 1999 2029 2199 4077 5997 6087 6597 17991 18261 19791 53973 54783 110683 301849 306379 332049 905547 919137 996147 1465267 1487257 2716641 2757411 2988441 4055971 4395801 4461771 8149923 8272233 12167913 13187403 13385313 36503739 39562209 40155939 109511217 221255317 224575807 612451621 663765951 673727421 1837354863 1991297853 2021182263 2973026743 5512064589 5973893559 6063546789 8919080229 16536193767 26757240687 80271722061 448927038193 1346781114579 4040343343737 12121030031211