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10122002200112 = 241179899980897
BaseRepresentation
bin1001001101001011011001…
…0110000111011000110000
31022211122122201220011112112
42103102312112013120300
52311314330030400422
633305552243344452
72063201436053645
oct223226626073060
938748581804475
1010122002200112
1132527983a8780
121175866082128
135856680aa48a
1426dc9c343dcc
1512846aa92ee2
hex934b6587630

10122002200112 has 80 divisors (see below), whose sum is σ = 21667720320000. Its totient is φ = 4542109777920.

The previous prime is 10122002200097. The next prime is 10122002200139. The reversal of 10122002200112 is 21100220022101.

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, 125081648 + ... + 125162544.

It is an arithmetic number, because the mean of its divisors is an integer number (270846504000).

Almost surely, 210122002200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122002200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833860160000).

10122002200112 is an abundant number, since it is smaller than the sum of its proper divisors (11545718119888).

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

10122002200112 is a wasteful number, since it uses less digits than its factorization.

10122002200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89994 (or 89988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122002200112 its reverse (21100220022101), we get a palindrome (31222222222213).

The spelling of 10122002200112 in words is "ten trillion, one hundred twenty-two billion, two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 8999 13904 17998 35996 71992 80897 98989 143984 161794 197978 323588 395956 647176 710921 791912 889867 1294352 1421842 1583824 1779734 2843684 3559468 5687368 6390863 7118936 7820131 11374736 12781726 14237872 15640262 25563452 31280524 51126904 62561048 70299493 102253808 125122096 140598986 281197972 562395944 727992103 1124791888 1455984206 2911968412 5823936824 8007913133 11647873648 16015826266 32031652532 57511376137 64063305064 115022752274 128126610128 230045504548 460091009096 632625137507 920182018192 1265250275014 2530500550028 5061001100056 10122002200112