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201112121200011 = 3760135141453451
BaseRepresentation
bin101101101110100100010000…
…100010110100110110001011
3222101002010112111212120210220
4231232210100202310312023
5202330010111011400021
61551421344422241123
760234604562455560
oct5556442042646613
9871063474776726
10201112121200011
115909819848730a
121a680a625861a3
13882aa3a355b48
143793c42c58867
15183b5c3c51cc6
hexb6e9108b4d8b

201112121200011 has 32 divisors (see below), whose sum is σ = 306975888984576. Its totient is φ = 114726477600000.

The previous prime is 201112121199911. The next prime is 201112121200013. The reversal of 201112121200011 is 110002121211102.

It is a happy number.

It is not a de Polignac number, because 201112121200011 - 223 = 201112112811403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201112121200013) 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 31 ways as a sum of consecutive naturals, for example, 443287836 + ... + 443741286.

It is an arithmetic number, because the mean of its divisors is an integer number (9592996530768).

Almost surely, 2201112121200011 is an apocalyptic number.

201112121200011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201112121200011 is a deficient number, since it is larger than the sum of its proper divisors (105863767784565).

201112121200011 is a wasteful number, since it uses less digits than its factorization.

201112121200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489203.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201112121200011 its reverse (110002121211102), we get a palindrome (311114242411113).

The spelling of 201112121200011 in words is "two hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, eleven".

Divisors: 1 3 7 21 601 1803 4207 12621 35141 105423 245987 453451 737961 1360353 3174157 9522471 21119741 63359223 147838187 272524051 443514561 817572153 1907668357 5723005071 15934721591 47804164773 111543051137 334629153411 9576767676191 28730303028573 67037373733337 201112121200011