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2120210012112 = 2434316720832953
BaseRepresentation
bin11110110110100110010…
…111010101011111010000
321111200122002012011220220
4132312212113111133100
5234214142230341422
64302002214433040
7306115531514463
oct36664627253720
97450562164826
102120210012112
117481a3307135
122a2ab2062780
13124c200ccc5a
1474893a632da
153a241618e5c
hex1eda65d57d0

2120210012112 has 160 divisors (see below), whose sum is σ = 5642763506688. Its totient is φ = 685605731328.

The previous prime is 2120210012099. The next prime is 2120210012147. The reversal of 2120210012112 is 2112100120212.

It is a junction number, because it is equal to n+sod(n) for n = 2120210012091 and 2120210012100.

It is a congruent 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, 717983628 + ... + 717986580.

Almost surely, 22120210012112 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 2120210012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821381753344).

2120210012112 is an abundant number, since it is smaller than the sum of its proper divisors (3522553494576).

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

2120210012112 is a wasteful number, since it uses less digits than its factorization.

2120210012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120210012112 its reverse (2112100120212), we get a palindrome (4232310132324).

The spelling of 2120210012112 in words is "two trillion, one hundred twenty billion, two hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 167 172 258 334 344 501 516 668 688 1002 1032 1336 2004 2064 2083 2672 2953 4008 4166 5906 6249 7181 8016 8332 8859 11812 12498 14362 16664 17718 21543 23624 24996 28724 33328 35436 43086 47248 49992 57448 70872 86172 89569 99984 114896 126979 141744 172344 179138 253958 268707 344688 347861 358276 380937 493151 507916 537414 695722 716552 761874 986302 1015832 1043583 1074828 1391444 1433104 1479453 1523748 1972604 2031664 2087166 2149656 2782888 2958906 3047496 3945208 4174332 4299312 5565776 5917812 6094992 6151099 7890416 8348664 11835624 12302198 14958023 16697328 18453297 21205493 23671248 24604396 29916046 36906594 42410986 44874069 49208792 59832092 63616479 73813188 84821972 89748138 98417584 119664184 127232958 147626376 169643944 179496276 239328368 254465916 264497257 295252752 339287888 358992552 508931832 528994514 717985104 793491771 1017863664 1027233533 1057989028 1586983542 2054467066 2115978056 3081700599 3173967084 4108934132 4231956112 6163401198 6347934168 8217868264 12326802396 12695868336 16435736528 24653604792 44171041919 49307209584 88342083838 132513125757 176684167676 265026251514 353368335352 530052503028 706736670704 1060105006056 2120210012112