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1221220000112 = 247192331859937
BaseRepresentation
bin10001110001010110011…
…000100110000101110000
311022202011220212210202112
4101301112120212011300
5130002024310000422
62333004250504452
7154141653504410
oct21612630460560
94282156783675
101221220000112
11430a09942272
12178820135128
138b21196a2a8
1443170868640
1521b77ae2ee2
hex11c56626170

1221220000112 has 320 divisors, whose sum is σ = 3072869990400. Its totient is φ = 457952901120.

The previous prime is 1221220000109. The next prime is 1221220000129. The reversal of 1221220000112 is 2110000221221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1303329308 + ... + 1303330244.

It is an arithmetic number, because the mean of its divisors is an integer number (9602718720).

Almost surely, 21221220000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221220000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536434995200).

1221220000112 is an abundant number, since it is smaller than the sum of its proper divisors (1851649990288).

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

1221220000112 is a wasteful number, since it uses less digits than its factorization.

1221220000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221220000112 its reverse (2110000221221), we get a palindrome (3331220221333).

The spelling of 1221220000112 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.