Search a number
-
+
122221200120 = 23351759912353
BaseRepresentation
bin111000111010011110…
…0111000001011111000
3102200110210202021020120
41301310330320023320
54000302111400440
6132051520253240
711554520026335
oct1616474701370
9380423667216
10122221200120
11479197546a8
121b82b771220
13b6aa42c476
145cb634198c
1532a4eaddd0
hex1c74f382f8

122221200120 has 64 divisors (see below), whose sum is σ = 388232053920. Its totient is φ = 30675124224.

The previous prime is 122221200109. The next prime is 122221200163. The reversal of 122221200120 is 21002122221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122221200120.

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, 29954137 + ... + 29958216.

Almost surely, 2122221200120 is an apocalyptic number.

122221200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221200120 is an abundant number, since it is smaller than the sum of its proper divisors (266010853800).

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

122221200120 is a wasteful number, since it uses less digits than its factorization.

122221200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59912384 (or 59912380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122221200120 its reverse (21002122221), we get a palindrome (143223322341).

The spelling of 122221200120 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 59912353 119824706 179737059 239649412 299561765 359474118 479298824 599123530 718948236 898685295 1018510001 1198247060 1437896472 1797370590 2037020002 2396494120 3055530003 3594741180 4074040004 5092550005 6111060006 7189482360 8148080008 10185100010 12222120012 15277650015 20370200020 24444240024 30555300030 40740400040 61110600060 122221200120