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2120202022212 = 22322571277179453
BaseRepresentation
bin11110110110100101111…
…000110110110101000100
321111200121112011020211200
4132312211320312311010
5234214133204202322
64302001331302500
7306115403556351
oct36664570666504
97450545136750
102120202022212
1174819984a20a
122a2aab44aa30
13124c1b5632c1
1474892983628
153a240a8b8ac
hex1eda5e36d44

2120202022212 has 72 divisors (see below), whose sum is σ = 5384496453336. Its totient is φ = 703428870144.

The previous prime is 2120202022207. The next prime is 2120202022229. The reversal of 2120202022212 is 2122202020212.

It can be written as a sum of positive squares in 4 ways, for example, as 1697642220096 + 422559802116 = 1302936^2 + 650046^2 .

It is a super-2 number, since 2×21202020222122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11725078 + ... + 11904530.

It is an arithmetic number, because the mean of its divisors is an integer number (74784672963).

Almost surely, 22120202022212 is an apocalyptic number.

It is an amenable number.

2120202022212 is an abundant number, since it is smaller than the sum of its proper divisors (3264294431124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120202022212 is a wasteful number, since it uses less digits than its factorization.

2120202022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180997 (or 180992 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120202022212 its reverse (2122202020212), we get a palindrome (4242404042424).

The spelling of 2120202022212 in words is "two trillion, one hundred twenty billion, two hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1277 1542 2313 2554 3084 3831 4626 5108 7662 9252 11493 15324 22986 45972 179453 328189 358906 538359 656378 717812 984567 1076718 1312756 1615077 1969134 2153436 2953701 3230154 3938268 5907402 6460308 11814804 46119421 92238842 138358263 184477684 229161481 276716526 415074789 458322962 553433052 687484443 830149578 916645924 1374968886 1660299156 2062453329 2749937772 4124906658 8249813316 58894500617 117789001234 176683501851 235578002468 353367003702 530050505553 706734007404 1060101011106 2120202022212