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122001320 = 23574310133
BaseRepresentation
bin1110100010110…
…01011110101000
322111120022100102
413101121132220
5222213020240
620034524532
73010664660
oct721313650
9274508312
10122001320
1162959441
1234a36748
131c377b3c
14122bb1a0
15aa9d815
hex74597a8

122001320 has 64 divisors (see below), whose sum is σ = 321045120. Its totient is φ = 40852224.

The previous prime is 122001317. The next prime is 122001371. The reversal of 122001320 is 23100221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6974 + ... + 17106.

It is an arithmetic number, because the mean of its divisors is an integer number (5016330).

Almost surely, 2122001320 is an apocalyptic number.

122001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160522560).

122001320 is an abundant number, since it is smaller than the sum of its proper divisors (199043800).

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

122001320 is a wasteful number, since it uses less digits than its factorization.

122001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 122001320 is about 11045.4207706180. The cubic root of 122001320 is about 495.9693551133.

Adding to 122001320 its reverse (23100221), we get a palindrome (145101541).

The spelling of 122001320 in words is "one hundred twenty-two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 10133 12040 20266 40532 50665 70931 81064 101330 141862 202660 283724 354655 405320 435719 567448 709310 871438 1418620 1742876 2178595 2837240 3050033 3485752 4357190 6100066 8714380 12200132 15250165 17428760 24400264 30500330 61000660 122001320