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12002221122021 = 3313311103043941
BaseRepresentation
bin1010111010100111110000…
…1000000110000111100101
31120111101211102111210102000
42232221330020012013211
53033121022101401041
641305424432235513
72346063141152634
oct256517410060745
946441742453360
1012002221122021
113908127a20739
12141a13b69bb99
13690a5c908280
142d6ca699751b
1515c312e10bb6
hexaea7c2061e5

12002221122021 has 32 divisors (see below), whose sum is σ = 19766547440640. Its totient is φ = 7147724731200.

The previous prime is 12002221122007. The next prime is 12002221122041. The reversal of 12002221122021 is 12022112220021.

It is a happy number.

12002221122021 is a `hidden beast` number, since 1 + 200 + 2 + 221 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 12002221122021 - 29 = 12002221121509 is a prime.

It is a super-2 number, since 2×120022211220212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002221121985 and 12002221122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002221122041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551511090 + ... + 551532851.

It is an arithmetic number, because the mean of its divisors is an integer number (617704607520).

Almost surely, 212002221122021 is an apocalyptic number.

It is an amenable number.

12002221122021 is a deficient number, since it is larger than the sum of its proper divisors (7764326318619).

12002221122021 is a wasteful number, since it uses less digits than its factorization.

12002221122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103043994 (or 1103043988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002221122021 its reverse (12022112220021), we get a palindrome (24024333342042).

The spelling of 12002221122021 in words is "twelve trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 1103043941 3309131823 9927395469 14339571233 29782186407 34194362171 43018713699 102583086513 129056141097 307749259539 387168423291 444526708223 923247778617 1333580124669 4000740374007 12002221122021