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120220122112 = 2101929321089
BaseRepresentation
bin110111111110110101…
…1010111110000000000
3102111022100100222021021
41233331223113300000
53432202322401422
6131121154235224
711454111114556
oct1577553276000
9374270328237
10120220122112
1146a92141122
121b371585b14
13b44b99853c
145b66685bd6
1531d9486dc7
hex1bfdad7c00

120220122112 has 88 divisors (see below), whose sum is σ = 253846832400. Its totient is φ = 56749326336.

The previous prime is 120220122107. The next prime is 120220122203. The reversal of 120220122112 is 211221022021.

It is a happy number.

120220122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 5690064 + ... + 5711152.

Almost surely, 2120220122112 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 120220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126923416200).

120220122112 is an abundant number, since it is smaller than the sum of its proper divisors (133626710288).

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

120220122112 is a wasteful number, since it uses less digits than its factorization.

120220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21421 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120220122112 its reverse (211221022021), we get a palindrome (331441144133).

The spelling of 120220122112 in words is "one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 293 304 512 586 608 1024 1172 1216 2344 2432 4688 4864 5567 9376 9728 11134 18752 19456 21089 22268 37504 42178 44536 75008 84356 89072 150016 168712 178144 300032 337424 356288 400691 674848 712576 801382 1349696 1425152 1602764 2699392 2850304 3205528 5398784 5700608 6179077 6411056 10797568 12358154 12822112 21595136 24716308 25644224 49432616 51288448 98865232 102576896 117402463 197730464 205153792 234804926 395460928 410307584 469609852 790921856 939219704 1581843712 1878439408 3163687424 3756878816 6327374848 7513757632 15027515264 30055030528 60110061056 120220122112