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122221012112 = 24191374995881
BaseRepresentation
bin111000111010011110…
…0001010010010010000
3102200110210101201100022
41301310330022102100
54000302034341422
6132051512243012
711554515314243
oct1616474122220
9380423351308
10122221012112
1147919636421
121b82b6a0468
13b6aa394a14
145cb62d325a
1532a4e73342
hex1c74f0a490

122221012112 has 80 divisors (see below), whose sum is σ = 251631960000. Its totient is φ = 57346652160.

The previous prime is 122221012073. The next prime is 122221012129. The reversal of 122221012112 is 211210122221.

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, 20779412 + ... + 20785292.

It is an arithmetic number, because the mean of its divisors is an integer number (3145399500).

Almost surely, 2122221012112 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 122221012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125815980000).

122221012112 is an abundant number, since it is smaller than the sum of its proper divisors (129410947888).

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

122221012112 is a wasteful number, since it uses less digits than its factorization.

122221012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122221012112 its reverse (211210122221), we get a palindrome (333431134333).

The spelling of 122221012112 in words is "one hundred twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 137 152 274 304 499 548 998 1096 1996 2192 2603 3992 5206 5881 7984 9481 10412 11762 18962 20824 23524 37924 41648 47048 68363 75848 94096 111739 136726 151696 223478 273452 446956 546904 805697 893912 1093808 1298897 1611394 1787824 2597794 2934619 3222788 5195588 5869238 6445576 10391176 11738476 12891152 15308243 20782352 23476952 30616486 46953904 55757761 61232972 111515522 122465944 223031044 244931888 402042803 446062088 804085606 892124176 1608171212 3216342424 6432684848 7638813257 15277626514 30555253028 61110506056 122221012112