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12021100010019 = 346121859111301
BaseRepresentation
bin1010111011101110000101…
…1001010101101000100011
31120120012120010110200010000
42232323201121111220203
53033423203100310034
641322230032311043
72350332031103502
oct256734131255043
946505503420100
1012021100010019
113915135625711
12142192a0a2483
1369277ac4c909
142d7b78006839
1515ca6a525599
hexaeee1655a23

12021100010019 has 40 divisors (see below), whose sum is σ = 18252829023440. Its totient is φ = 7882257096000.

The previous prime is 12021100009973. The next prime is 12021100010027. The reversal of 12021100010019 is 91001000112021.

It is a happy number.

It is not a de Polignac number, because 12021100010019 - 224 = 12021083232803 is a prime.

It is a super-2 number, since 2×120211000100192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12021100009983 and 12021100010010.

It is not an unprimeable number, because it can be changed into a prime (12021100010039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107949669 + ... + 108060969.

It is an arithmetic number, because the mean of its divisors is an integer number (456320725586).

Almost surely, 212021100010019 is an apocalyptic number.

12021100010019 is a deficient number, since it is larger than the sum of its proper divisors (6231729013421).

12021100010019 is a wasteful number, since it uses less digits than its factorization.

12021100010019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133233 (or 133224 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 12021100010019 in words is "twelve trillion, twenty-one billion, one hundred million, ten thousand, nineteen".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 21859 65577 111301 196731 333903 590193 1001709 1333399 1770579 3005127 4000197 6789361 9015381 12000591 20368083 36001773 61104249 108005319 183312747 549938241 2432928559 7298785677 21896357031 65689071093 148408642099 197067213279 445225926297 1335677778891 4007033336673 12021100010019