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121120122112 = 2811313713711
BaseRepresentation
bin111000011001101010…
…0100110010100000000
3102120122001212201011121
41300303110212110000
53441023222401422
6131350344322024
711515320023353
oct1606324462400
9376561781147
10121120122112
1147404173480
121b582a73314
13b563291c12
145c1000229a
15323d4b38c7
hex1c33526500

121120122112 has 72 divisors (see below), whose sum is σ = 263849265792. Its totient is φ = 55033036800.

The previous prime is 121120122083. The next prime is 121120122127. The reversal of 121120122112 is 211221021121.

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

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, 8826937 + ... + 8840647.

It is an arithmetic number, because the mean of its divisors is an integer number (3664573136).

Almost surely, 2121120122112 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 121120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131924632896).

121120122112 is an abundant number, since it is smaller than the sum of its proper divisors (142729143680).

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

121120122112 is a wasteful number, since it uses less digits than its factorization.

121120122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16875 (or 16861 counting only the distinct ones).

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

Adding to 121120122112 its reverse (211221021121), we get a palindrome (332341143233).

The spelling of 121120122112 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3137 6274 12548 13711 25096 27422 34507 50192 54844 69014 100384 109688 138028 150821 200768 219376 276056 301642 401536 438752 552112 603284 803072 877504 1104224 1206568 1755008 2208448 2413136 3510016 4416896 4826272 8833792 9652544 19305088 38610176 43011407 86022814 172045628 344091256 473125477 688182512 946250954 1376365024 1892501908 2752730048 3785003816 5505460096 7570007632 11010920192 15140015264 30280030528 60560061056 121120122112