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222120001012221 = 321312793711595189
BaseRepresentation
bin110010100000010001010111…
…110000100000000111111101
31002010110110112210000110012100
4302200101113300200013331
5213103203230224342341
62104224304134455313
764533432455534124
oct6240212760400775
91063413483013170
10222120001012221
1164857621a07834
1220ab4416b04539
1396c2a98286c90
143cbc945c5cabb
151aa2cb70083b6
hexca0457c201fd

222120001012221 has 48 divisors (see below), whose sum is σ = 348278011361280. Its totient is φ = 135598381672320.

The previous prime is 222120001012213. The next prime is 222120001012243. The reversal of 222120001012221 is 122210100021222.

It is a happy number.

222120001012221 is a `hidden beast` number, since 2 + 221 + 200 + 0 + 10 + 12 + 221 = 666.

It is not a de Polignac number, because 222120001012221 - 23 = 222120001012213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222120001012194 and 222120001012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120001012201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138446095 + ... + 140041283.

It is an arithmetic number, because the mean of its divisors is an integer number (7255791903360).

Almost surely, 2222120001012221 is an apocalyptic number.

It is an amenable number.

222120001012221 is a deficient number, since it is larger than the sum of its proper divisors (126158010349059).

222120001012221 is a wasteful number, since it uses less digits than its factorization.

222120001012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604706 (or 1604703 counting only the distinct ones).

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

Adding to 222120001012221 its reverse (122210100021222), we get a palindrome (344330101033443).

Subtracting from 222120001012221 its reverse (122210100021222), we obtain a palindrome (99909900990999).

The spelling of 222120001012221 in words is "two hundred twenty-two trillion, one hundred twenty billion, one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 127 381 1143 1651 4953 9371 14859 28113 84339 121823 365469 1096407 1190117 1595189 3570351 4785567 10711053 14356701 15471521 20737457 46414563 62212371 139243689 186637113 202589003 607767009 1823301027 2633657039 7900971117 14948516119 23702913351 44845548357 134536645071 194330709547 582992128641 1748976385923 1898461547113 5695384641339 17086153924017 24680000112469 74040000337407 222120001012221