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1012122001020 = 223513347163363
BaseRepresentation
bin11101011101001110010…
…11000001111001111100
310120202110112002212202210
432232213023001321330
5113040311213013040
62052543515020420
7133060220026614
oct16564713017174
93522415085683
101012122001020
11360269535759
121441a573a710
137459a7a8000
1436db6341a44
151b4daa85480
hexeba72c1e7c

1012122001020 has 192 divisors, whose sum is σ = 3135334164480. Its totient is φ = 243835428096.

The previous prime is 1012122000997. The next prime is 1012122001027. The reversal of 1012122001020 is 201002212101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012122000987 and 1012122001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012122001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6113859 + ... + 6277221.

It is an arithmetic number, because the mean of its divisors is an integer number (16329865440).

Almost surely, 21012122001020 is an apocalyptic number.

1012122001020 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 1012122001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567667082240).

1012122001020 is an abundant number, since it is smaller than the sum of its proper divisors (2123212163460).

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

1012122001020 is a wasteful number, since it uses less digits than its factorization.

1012122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163461 (or 163433 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012122001020 its reverse (201002212101), we get a palindrome (1213124213121).

The spelling of 1012122001020 in words is "one trillion, twelve billion, one hundred twenty-two million, one thousand, twenty".