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11221422012 = 2232379918501
BaseRepresentation
bin10100111001101100…
…10100111110111100
31001222001002022010200
422130312110332330
5140440141001022
65053254003500
7545035341033
oct123466247674
931861068120
1011221422012
114839222499
122212046590
13109aa723a8
1478646b71a
1545a22abac
hex29cd94fbc

11221422012 has 72 divisors (see below), whose sum is σ = 29164716672. Its totient is φ = 3635280000.

The previous prime is 11221422007. The next prime is 11221422031. The reversal of 11221422012 is 21022412211.

11221422012 is a `hidden beast` number, since 11 + 221 + 422 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315762 + ... + 1324262.

Almost surely, 211221422012 is an apocalyptic number.

11221422012 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 11221422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582358336).

11221422012 is an abundant number, since it is smaller than the sum of its proper divisors (17943294660).

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

11221422012 is a wasteful number, since it uses less digits than its factorization.

11221422012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11221422012 its reverse (21022412211), we get a palindrome (32243834223).

The spelling of 11221422012 in words is "eleven billion, two hundred twenty-one million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 991 1332 1982 2973 3964 5946 8501 8919 11892 17002 17838 25503 34004 35676 36667 51006 73334 76509 102012 110001 146668 153018 220002 306036 314537 330003 440004 629074 660006 943611 1258148 1320012 1887222 2830833 3774444 5661666 8424491 11323332 16848982 25273473 33697964 50546946 75820419 101093892 151640838 303281676 311706167 623412334 935118501 1246824668 1870237002 2805355503 3740474004 5610711006 11221422012