Search a number
-
+
12100112122122 = 2322178730854567
BaseRepresentation
bin1011000000010100011011…
…1000101000000100001010
31120211202111121200211200100
42300011012320220010022
53041222012200401442
641422414220150230
72356130026011453
oct260050670500412
946752447624610
1012100112122122
1139456a0930a12
1214350bb098376
1369a0604c857b
142db9118a812a
1515eb41e0684c
hexb0146e2810a

12100112122122 has 24 divisors (see below), whose sum is σ = 26218113775776. Its totient is φ = 4033185449256.

The previous prime is 12100112122099. The next prime is 12100112122193. The reversal of 12100112122122 is 22122121100121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12100112122095 and 12100112122104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15035118 + ... + 15819449.

It is an arithmetic number, because the mean of its divisors is an integer number (1092421407324).

Almost surely, 212100112122122 is an apocalyptic number.

12100112122122 is an abundant number, since it is smaller than the sum of its proper divisors (14118001653654).

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

12100112122122 is a wasteful number, since it uses less digits than its factorization.

12100112122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30876362 (or 30876359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12100112122122 its reverse (22122121100121), we get a palindrome (34222233222243).

The spelling of 12100112122122 in words is "twelve trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 21787 43574 65361 130722 196083 392166 30854567 61709134 92563701 185127402 277691103 555382206 672228451229 1344456902458 2016685353687 4033370707374 6050056061061 12100112122122