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20120010002312 = 23111783647325033
BaseRepresentation
bin1001001001100100011100…
…00011001000111110001000
32122020110021002110021202012
410210302032003020332020
510114121240030033222
6110443001024555052
74144423414143353
oct444621603107610
978213232407665
1020120010002312
116457937134030
12230b486782a88
13b2c402590a1c
144d7b56a4929a
1524d57ab651e2
hex124c8e0c8f88

20120010002312 has 128 divisors (see below), whose sum is σ = 44109002770560. Its totient is φ = 8502132817920.

The previous prime is 20120010002273. The next prime is 20120010002327. The reversal of 20120010002312 is 21320001002102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803726948 + ... + 803751980.

It is an arithmetic number, because the mean of its divisors is an integer number (344601584145).

Almost surely, 220120010002312 is an apocalyptic number.

20120010002312 is a gapful number since it is divisible by the number (22) 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 20120010002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054501385280).

20120010002312 is an abundant number, since it is smaller than the sum of its proper divisors (23988992768248).

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

20120010002312 is a wasteful number, since it uses less digits than its factorization.

20120010002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31623 (or 31619 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20120010002312 its reverse (21320001002102), we get a palindrome (41440011004414).

The spelling of 20120010002312 in words is "twenty trillion, one hundred twenty billion, ten million, two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 83 88 136 166 187 332 374 664 748 913 1411 1496 1826 2822 3652 5644 6473 7304 11288 12946 15521 25033 25892 31042 50066 51784 62084 71203 100132 110041 124168 142406 200264 220082 275363 284812 425561 440164 537259 550726 569624 851122 880328 1074518 1101452 1210451 1702244 2077739 2149036 2202904 2420902 3404488 4155478 4298072 4681171 4841804 5909849 8310956 9133403 9362342 9683608 11819698 16621912 18266806 18724684 22855129 23639396 35321563 36533612 37449368 45710258 47278792 70643126 73067224 91420516 100467433 141286252 162038609 182841032 200934866 282572504 324077218 388537193 401869732 648154436 777074386 803739464 1296308872 1554148772 1782424699 2754656353 3108297544 3564849398 5509312706 7129698796 11018625412 13449204547 14259397592 22037250824 26898409094 30301219883 53796818188 60602439766 107593636376 121204879532 147941250017 228636477299 242409759064 295882500034 457272954598 591765000068 914545909196 1183530000136 1829091818392 2515001250289 5030002500578 10060005001156 20120010002312