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122100012112 = 24133371741897
BaseRepresentation
bin111000110110110111…
…0100101010001010000
3102200011100201021112211
41301231232211101100
54000030100341422
6132031511001504
711551515656461
oct1615556452120
9380140637484
10122100012112
1147867301321
121b7b7069294
13b68b2aa8a0
145ca41d6d68
153299521577
hex1c6dba5450

122100012112 has 40 divisors (see below), whose sum is σ = 255522501416. Its totient is φ = 56186597376.

The previous prime is 122100012103. The next prime is 122100012131. The reversal of 122100012112 is 211210001221.

It can be written as a sum of positive squares in 4 ways, for example, as 3320525376 + 118779486736 = 57624^2 + 344644^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 122100012092 and 122100012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800853 + ... + 941044.

Almost surely, 2122100012112 is an apocalyptic number.

It is an amenable number.

122100012112 is an abundant number, since it is smaller than the sum of its proper divisors (133422489304).

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

122100012112 is a wasteful number, since it uses less digits than its factorization.

122100012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742255 (or 1742249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122100012112 its reverse (211210001221), we get a palindrome (333310013333).

The spelling of 122100012112 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 674 1348 2696 4381 5392 8762 17524 35048 70096 1741897 3483794 6967588 13935176 22644661 27870352 45289322 90578644 181157288 362314576 587019289 1174038578 2348077156 4696154312 7631250757 9392308624 15262501514 30525003028 61050006056 122100012112