Search a number
-
+
122311013120112 = 24343401147778583
BaseRepresentation
bin11011110011110111000000…
…011111010011100001110000
3121001001211002210200101022010
4123303313000133103201300
5112012420423324320422
61112044523112242520
734522451632453515
oct3363670037234160
9531054083611263
10122311013120112
1135a7689a2a0453
121187483a9a0440
135332b5735c05b
14222bc5558930c
15e218cbac3b0c
hex6f3dc07d3870

122311013120112 has 80 divisors (see below), whose sum is σ = 324124541630208. Its totient is φ = 39722882841600.

The previous prime is 122311013120089. The next prime is 122311013120183. The reversal of 122311013120112 is 211021310113221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73061628 + ... + 74716955.

Almost surely, 2122311013120112 is an apocalyptic number.

122311013120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122311013120112 is an abundant number, since it is smaller than the sum of its proper divisors (201813528510096).

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

122311013120112 is a wasteful number, since it uses less digits than its factorization.

122311013120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147779038 (or 147779032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122311013120112 its reverse (211021310113221), we get a palindrome (333332323233333).

The spelling of 122311013120112 in words is "one hundred twenty-two trillion, three hundred eleven billion, thirteen million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 401 516 688 802 1032 1203 1604 2064 2406 3208 4812 6416 9624 17243 19248 34486 51729 68972 103458 137944 206916 275888 413832 827664 147778583 295557166 443335749 591114332 886671498 1182228664 1773342996 2364457328 3546685992 6354479069 7093371984 12708958138 19063437207 25417916276 38126874414 50835832552 59259211783 76253748828 101671665104 118518423566 152507497656 177777635349 237036847132 305014995312 355555270698 474073694264 711110541396 948147388528 1422221082792 2548146106669 2844442165584 5096292213338 7644438320007 10192584426676 15288876640014 20385168853352 30577753280028 40770337706704 61155506560056 122311013120112