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12320213210032 = 2471370691197013
BaseRepresentation
bin1011001101001000010111…
…1011101001001110110000
31121121210121211201120222011
42303102011323221032300
53103323244040210112
642111454450252304
72411051240255350
oct263220573511660
947553554646864
1012320213210032
113a1aa78195a62
12146b8a6587094
136b4a391270b0
14308431466b60
15165724e13aa7
hexb3485ee93b0

12320213210032 has 80 divisors (see below), whose sum is σ = 29383150538560. Its totient is φ = 4873236950016.

The previous prime is 12320213210027. The next prime is 12320213210069. The reversal of 12320213210032 is 23001231202321.

12320213210032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12320213209985 and 12320213210012.

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, 9693958 + ... + 10890970.

It is an arithmetic number, because the mean of its divisors is an integer number (367289381732).

Almost surely, 212320213210032 is an apocalyptic number.

It is an amenable number.

12320213210032 is an abundant number, since it is smaller than the sum of its proper divisors (17062937328528).

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

12320213210032 is a wasteful number, since it uses less digits than its factorization.

12320213210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204110 (or 1204104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12320213210032 its reverse (23001231202321), we get a palindrome (35321444412353).

The spelling of 12320213210032 in words is "twelve trillion, three hundred twenty billion, two hundred thirteen million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 7069 14138 28276 49483 56552 91897 98966 113104 183794 197932 367588 395864 643279 735176 791728 1197013 1286558 1470352 2394026 2573116 4788052 5146232 8379091 9576104 10292464 15561169 16758182 19152208 31122338 33516364 62244676 67032728 108928183 124489352 134065456 217856366 248978704 435712732 871425464 1742850928 8461684897 16923369794 33846739588 59231794279 67693479176 110001903661 118463588558 135386958352 220003807322 236927177116 440007614644 473854354232 770013325627 880015229288 947708708464 1540026651254 1760030458576 3080053302508 6160106605016 12320213210032