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12221211210021 = 351167165741183
BaseRepresentation
bin1011000111010111100011…
…1100111111000100100101
31121021100002012222220100000
42301311320330333010211
53100213020032210041
641554202534011513
72400645002200662
oct261657074770445
947240065886300
1012221211210021
113991a94138040
121454676aa6b99
136a85bc3043b8
1430371cb92a69
15162d7d612bb6
hexb1d78f3f125

12221211210021 has 96 divisors (see below), whose sum is σ = 20281711177728. Its totient is φ = 7291665152640.

The previous prime is 12221211210011. The next prime is 12221211210023. The reversal of 12221211210021 is 12001211212221.

12221211210021 is a `hidden beast` number, since 1 + 2 + 221 + 211 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 12221211210021 - 221 = 12221209112869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221211209976 and 12221211210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221211210023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296733196 + ... + 296774378.

It is an arithmetic number, because the mean of its divisors is an integer number (211267824768).

Almost surely, 212221211210021 is an apocalyptic number.

12221211210021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221211210021 is a deficient number, since it is larger than the sum of its proper divisors (8060499967707).

12221211210021 is a wasteful number, since it uses less digits than its factorization.

12221211210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42933 (or 42921 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221211210021 its reverse (12001211212221), we get a palindrome (24222422422242).

The spelling of 12221211210021 in words is "twelve trillion, two hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 11 27 33 67 81 99 201 243 297 603 737 891 1657 1809 2211 2673 4971 5427 6633 14913 16281 18227 19899 41183 44739 54681 59697 111019 123549 134217 164043 179091 333057 370647 402651 453013 492129 999171 1111941 1221209 1359039 1476387 2759261 2997513 3335823 3663627 4077117 4429161 8277783 8992539 10007469 10990881 12231351 24833349 26977617 30351871 32972643 36694053 68240231 74500047 91055613 98917929 110082159 204720693 223500141 273166839 296753787 614162079 670500423 750642541 819500517 1842486237 2251927623 2458501551 4572095477 5527458711 6755782869 7375504653 13716286431 16582376133 20267348607 41148859293 50293050247 60802045821 123446577879 150879150741 182406137463 370339733637 452637452223 1111019200911 1357912356669 4073737070007 12221211210021