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11112121021200 = 2435219907537347
BaseRepresentation
bin1010000110110011111000…
…0001101011001100010000
31110100022022211010200210020
42201230332001223030100
52424030110440134300
635344500554103440
72224552501142133
oct241547601531420
943308284120706
1011112121021200
1135a4695695701
1212b572aa1ab80
13627b3a18bc94
142a5b8831821a
151440b9abc8a0
hexa1b3e06b310

11112121021200 has 240 divisors, whose sum is σ = 37510673329920. Its totient is φ = 2804172341760.

The previous prime is 11112121021103. The next prime is 11112121021247. The reversal of 11112121021200 is 212012121111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11112121021200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20410927 + ... + 20948273.

It is an arithmetic number, because the mean of its divisors is an integer number (156294472208).

Almost surely, 211112121021200 is an apocalyptic number.

11112121021200 is a gapful number since it is divisible by the number (10) 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 11112121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755336664960).

11112121021200 is an abundant number, since it is smaller than the sum of its proper divisors (26398552308720).

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

11112121021200 is a wasteful number, since it uses less digits than its factorization.

11112121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538294 (or 538283 counting only the distinct ones).

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

Adding to 11112121021200 its reverse (212012121111), we get a palindrome (11324133142311).

The spelling of 11112121021200 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, twenty-one thousand, two hundred".