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1002200012112 = 243136723971489
BaseRepresentation
bin11101001010101111100…
…01101001010101010000
310112210212001010121202010
432211113301221111100
5112410001200341422
62044223200222520
7132256310355345
oct16452761512520
93483761117663
101002200012112
11357037863622
1214229690aa40
1373679002860
14367146c87cc
151b109986b0c
hexe957c69550

1002200012112 has 80 divisors (see below), whose sum is σ = 2829786451520. Its totient is φ = 303766695936.

The previous prime is 1002200012063. The next prime is 1002200012141. The reversal of 1002200012112 is 2112100022001.

1002200012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent 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, 11943937 + ... + 12027552.

It is an arithmetic number, because the mean of its divisors is an integer number (35372330644).

Almost surely, 21002200012112 is an apocalyptic number.

1002200012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002200012112 is an abundant number, since it is smaller than the sum of its proper divisors (1827586439408).

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

1002200012112 is a wasteful number, since it uses less digits than its factorization.

1002200012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23971580 (or 23971574 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002200012112 its reverse (2112100022001), we get a palindrome (3114300034113).

The spelling of 1002200012112 in words is "one trillion, two billion, two hundred million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 10452 13936 20904 41808 23971489 47942978 71914467 95885956 143828934 191771912 287657868 311629357 383543824 575315736 623258714 934888071 1150631472 1246517428 1606089763 1869776142 2493034856 3212179526 3739552284 4818269289 4986069712 6424359052 7479104568 9636538578 12848718104 14958209136 19273077156 20879166919 25697436208 38546154312 41758333838 62637500757 77092308624 83516667676 125275001514 167033335352 250550003028 334066670704 501100006056 1002200012112