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112121202112 = 2610138034561
BaseRepresentation
bin110100001101011110…
…0011100010111000000
3101201101220211012122021
41220122330130113000
53314111011431422
6123301402251224
711046316331113
oct1503274342700
9351356735567
10112121202112
114360654a707
12198911b6b14
13a75aacc39a
1455d8bcc57a
152db344bdc7
hex1a1af1c5c0

112121202112 has 56 divisors (see below), whose sum is σ = 224801746992. Its totient is φ = 55478784000.

The previous prime is 112121202091. The next prime is 112121202113. The reversal of 112121202112 is 211202121211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24580312 + ... + 24584872.

Almost surely, 2112121202112 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 112121202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112400873496).

112121202112 is an abundant number, since it is smaller than the sum of its proper divisors (112680544880).

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

112121202112 is a wasteful number, since it uses less digits than its factorization.

112121202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112121202112 its reverse (211202121211), we get a palindrome (323323323323).

The spelling of 112121202112 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 3803 4561 6464 7606 9122 15212 18244 30424 36488 60848 72976 121696 145952 243392 291904 384103 460661 768206 921322 1536412 1842644 3072824 3685288 6145648 7370576 12291296 14741152 17345483 24582592 29482304 34690966 69381932 138763864 277527728 555055456 1110110912 1751893783 3503787566 7007575132 14015150264 28030300528 56060601056 112121202112