Search a number
-
+
2121120211212 = 2232376192572589
BaseRepresentation
bin11110110111011100100…
…111011110000100001100
321111202222111220002100200
4132313130213132010030
5234223023233224322
64302232411253500
7306150223212252
oct36673447360414
97452874802320
102121120211212
117486200751a2
122a3106a4a290
131250368579c2
147493c8b65d2
153a2964ac8ac
hex1eddc9de10c

2121120211212 has 72 divisors (see below), whose sum is σ = 5515530056400. Its totient is φ = 686819253888.

The previous prime is 2121120211183. The next prime is 2121120211229.

2121120211212 is a `hidden beast` number, since 2 + 121 + 120 + 211 + 212 = 666.

2121120211212 is nontrivially palindromic in base 10.

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, 461787 + ... + 2110802.

Almost surely, 22121120211212 is an apocalyptic number.

It is an amenable number.

2121120211212 is an abundant number, since it is smaller than the sum of its proper divisors (3394409845188).

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

2121120211212 is a wasteful number, since it uses less digits than its factorization.

2121120211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573255 (or 2573250 counting only the distinct ones).

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

It can be divided in two parts, 2121120 and 211212, that added together give a palindrome (2332332).

The spelling of 2121120211212 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 619 666 1238 1332 1857 2476 3714 5571 7428 11142 22284 22903 45806 68709 91612 137418 206127 274836 412254 824508 2572589 5145178 7717767 10290356 15435534 23153301 30871068 46306602 92613204 95185793 190371586 285557379 380743172 571114758 856672137 1142229516 1592432591 1713344274 3184865182 3426688548 4777297773 6369730364 9554595546 14331893319 19109191092 28663786638 57327573276 58920005867 117840011734 176760017601 235680023468 353520035202 530280052803 707040070404 1060560105606 2121120211212