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122111020002202 = 27211647971180307
BaseRepresentation
bin11011110000111100101111…
…111110000110101110011010
3121000100200212221100100020221
4123300330233332012232122
5112001131332110032302
61111413010025510254
734502141624142100
oct3360745776065632
9530320787310227
10122111020002202
11359a9aa13aa930
1211841b2564238a
13531a0345ac52a
1422222c2379c70
15e1b5c405d937
hex6f0f2ff86b9a

122111020002202 has 96 divisors (see below), whose sum is σ = 233041691229696. Its totient is φ = 47453005202400.

The previous prime is 122111020002197. The next prime is 122111020002221. The reversal of 122111020002202 is 202200020111221.

It is a happy number.

It is a super-2 number, since 2×1221110200022022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677149333 + ... + 677329639.

It is an arithmetic number, because the mean of its divisors is an integer number (2427517616976).

Almost surely, 2122111020002202 is an apocalyptic number.

122111020002202 is a deficient number, since it is larger than the sum of its proper divisors (110930671227494).

122111020002202 is a wasteful number, since it uses less digits than its factorization.

122111020002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181952 (or 181945 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122111020002202 its reverse (202200020111221), we get a palindrome (324311040113423).

The spelling of 122111020002202 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty million, two thousand, two hundred two".

Divisors: 1 2 7 11 14 22 49 77 98 154 539 647 971 1078 1294 1942 4529 6797 7117 9058 10681 13594 14234 21362 31703 47579 49819 63406 74767 95158 99638 149534 180307 348733 360614 523369 628237 697466 1046738 1256474 1262149 1983377 2524298 3966754 4397659 6910607 8795318 8835043 13821214 13883639 17670086 27767278 30783613 48374249 61567226 96748498 97185473 116658629 175078097 194370946 233317258 338619743 350156194 677239486 816610403 1225546679 1283244919 1633220806 1925859067 2451093358 2566489838 3851718134 5716272821 8578826753 8982714433 11432545642 13481013469 17157653506 17965428866 26962026938 62879001031 94367094283 113275528759 125758002062 188734188566 226551057518 792928701313 1246030816349 1585857402626 2492061632698 5550500909191 8722215714443 11101001818382 17444431428886 61055510001101 122111020002202