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20121321012 = 223132326321323
BaseRepresentation
bin10010101111010100…
…101111111000110100
31220221021211000101120
4102233110233320310
5312202024233022
613124341423540
71311424256322
oct225724577064
956837730346
1020121321012
118595a63321
123a9670abb0
131b88874c10
14d8c466d12
157cb732d5c
hex4af52fe34

20121321012 has 96 divisors (see below), whose sum is σ = 52962674688. Its totient is φ = 5899200384.

The previous prime is 20121320983. The next prime is 20121321013. The reversal of 20121321012 is 21012312102.

It is a junction number, because it is equal to n+sod(n) for n = 20121320982 and 20121321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121321013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932983 + ... + 954305.

It is an arithmetic number, because the mean of its divisors is an integer number (551694528).

Almost surely, 220121321012 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 20121321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26481337344).

20121321012 is an abundant number, since it is smaller than the sum of its proper divisors (32841353676).

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

20121321012 is a wasteful number, since it uses less digits than its factorization.

20121321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21629 (or 21627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20121321012 its reverse (21012312102), we get a palindrome (41133633114).

The spelling of 20121321012 in words is "twenty billion, one hundred twenty-one million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 263 276 299 526 598 789 897 1052 1196 1578 1794 3156 3419 3588 6049 6838 10257 12098 13676 18147 20514 21323 24196 36294 41028 42646 63969 72588 78637 85292 127938 157274 235911 255876 277199 314548 471822 490429 554398 831597 943644 980858 1108796 1471287 1663194 1961716 2942574 3326388 5607949 5885148 6375577 11215898 12751154 16823847 19126731 22431796 25502308 33647694 38253462 67295388 72903337 76506924 128982827 145806674 218710011 257965654 291613348 386948481 437420022 515931308 773896962 874840044 1547793924 1676776751 3353553502 5030330253 6707107004 10060660506 20121321012