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12002110200010 = 2572151269960101
BaseRepresentation
bin1010111010100111010110…
…0000111101100011001010
31120111101112200210101000101
42232221311200331203022
53033120310202400020
641305405431000014
72346060323301100
oct256516540754312
946441480711011
1012002110200010
11390808034a357
12141a10a50900a
13690a4293c348
142d6c95d61c70
1515c30830000a
hexaea7583d8ca

12002110200010 has 96 divisors (see below), whose sum is σ = 25307173180800. Its totient is φ = 4086174960000.

The previous prime is 12002110200007. The next prime is 12002110200011. The reversal of 12002110200010 is 1000201120021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12002110200010.

It is not an unprimeable number, because it can be changed into a prime (12002110200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199668960 + ... + 199729060.

It is an arithmetic number, because the mean of its divisors is an integer number (263616387300).

Almost surely, 212002110200010 is an apocalyptic number.

12002110200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002110200010 is an abundant number, since it is smaller than the sum of its proper divisors (13305062980790).

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

12002110200010 is a wasteful number, since it uses less digits than its factorization.

12002110200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62972 (or 62965 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12002110200010 its reverse (1000201120021), we get a palindrome (13002311320031).

The spelling of 12002110200010 in words is "twelve trillion, two billion, one hundred ten million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 151 245 302 490 755 1057 1510 2114 2699 5285 5398 7399 10570 13495 14798 18893 26990 36995 37786 60101 73990 94465 120202 132251 188930 264502 300505 407549 420707 601010 661255 815098 841414 1322510 2037745 2103535 2852843 2944949 4075490 4207070 5705686 5889898 9075251 14264215 14724745 18150502 19969901 28528430 29449490 39939802 45376255 63526757 90752510 99849505 127053514 162212599 199699010 317633785 324425198 444687299 635267570 811062995 889374598 1135488193 1622125990 2223436495 2270976386 4446872990 5677440965 7948417351 11354881930 15896834702 24494102449 39742086755 48988204898 79484173510 122470512245 171458717143 244941024490 342917434286 857293585715 1200211020001 1714587171430 2400422040002 6001055100005 12002110200010