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1001110122012 = 2237113132329947
BaseRepresentation
bin11101001000101101101…
…00000010111000011100
310112201001002022110121010
432210112310002320130
5112400233142401022
62043523104135220
7132220304430240
oct16442664027034
93481032273533
101001110122012
11356628624000
12142031907510
1373534281780
143664da5c420
151b093e4b50c
hexe916d02e1c

1001110122012 has 384 divisors, whose sum is σ = 3299865182208. Its totient is φ = 229582805760.

The previous prime is 1001110122011. The next prime is 1001110122017. The reversal of 1001110122012 is 2102210111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110122011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33414423 + ... + 33444369.

It is an arithmetic number, because the mean of its divisors is an integer number (8593398912).

Almost surely, 21001110122012 is an apocalyptic number.

1001110122012 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 1001110122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649932591104).

1001110122012 is an abundant number, since it is smaller than the sum of its proper divisors (2298755060196).

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

1001110122012 is a wasteful number, since it uses less digits than its factorization.

1001110122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30030 (or 30006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001110122012 its reverse (2102210111001), we get a palindrome (3103320233013).

The spelling of 1001110122012 in words is "one trillion, one billion, one hundred ten million, one hundred twenty-two thousand, twelve".