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11011020122112 = 211319611546297
BaseRepresentation
bin1010000000111011001111…
…1100010110100000000000
31102222122100220221212220020
42200032303330112200000
52420401032122401422
635230220503013440
72214343225524243
oct240166374264000
942878326855806
1011011020122112
11356582489084a
12129a01443a280
1361b44757557a
142a0d16da325a
1514164ddc095c
hexa03b3f16800

11011020122112 has 192 divisors, whose sum is σ = 31407167937600. Its totient is φ = 3420159344640.

The previous prime is 11011020122087. The next prime is 11011020122117. The reversal of 11011020122112 is 21122102011011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 11011020122091 and 11011020122100.

It is not an unprimeable number, because it can be changed into a prime (11011020122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6347748 + ... + 7894044.

It is an arithmetic number, because the mean of its divisors is an integer number (163578999675).

Almost surely, 211011020122112 is an apocalyptic number.

11011020122112 is a gapful number since it is divisible by the number (12) 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 11011020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703583968800).

11011020122112 is an abundant number, since it is smaller than the sum of its proper divisors (20396147815488).

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

11011020122112 is a wasteful number, since it uses less digits than its factorization.

11011020122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546402 (or 1546382 counting only the distinct ones).

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

Adding to 11011020122112 its reverse (21122102011011), we get a palindrome (32133122133123).

The spelling of 11011020122112 in words is "eleven trillion, eleven billion, twenty million, one hundred twenty-two thousand, one hundred twelve".