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221200120100112 = 24359176694420589
BaseRepresentation
bin110010010010111000101010…
…100101010011010100010000
31002000012112011200210101120220
4302102320222211103110100
5212443120321221200422
62102241533214233040
764410116120021526
oct6222705245232420
91060175150711526
10221200120100112
116453249813746a
12209860947b5780
13965710a9bac6a
143c8a200310316
151a88dc9435e5c
hexc92e2a953510

221200120100112 has 80 divisors (see below), whose sum is σ = 581151980232000. Its totient is φ = 72479536471552.

The previous prime is 221200120100107. The next prime is 221200120100119. The reversal of 221200120100112 is 211001021002122.

Adding to 221200120100112 its reverse (211001021002122), we get a palindrome (432201141102234).

It is a junction number, because it is equal to n+sod(n) for n = 221200120100091 and 221200120100100.

It is not an unprimeable number, because it can be changed into a prime (221200120100119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47828314 + ... + 52248902.

It is an arithmetic number, because the mean of its divisors is an integer number (7264399752900).

Almost surely, 2221200120100112 is an apocalyptic number.

It is an amenable number.

221200120100112 is an abundant number, since it is smaller than the sum of its proper divisors (359951860131888).

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

221200120100112 is a wasteful number, since it uses less digits than its factorization.

221200120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438328 (or 4438322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The spelling of 221200120100112 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 17669 35338 53007 70676 106014 141352 212028 282704 424056 848112 1042471 2084942 3127413 4169884 4420589 6254826 8339768 8841178 12509652 13261767 16679536 17682356 25019304 26523534 35364712 50038608 53047068 70729424 106094136 212188272 260814751 521629502 782444253 1043259004 1564888506 2086518008 3129777012 4173036016 6259554024 12519108048 78107387041 156214774082 234322161123 312429548164 468644322246 624859096328 937288644492 1249718192656 1874577288984 3749154577968 4608335835419 9216671670838 13825007506257 18433343341676 27650015012514 36866686683352 55300030025028 73733373366704 110600060050056 221200120100112