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1022122200000 = 2635511251617
BaseRepresentation
bin11101101111110110011…
…10110000101111000000
310121201021110020121211210
432313323032300233000
5113221301240400000
62101320110010120
7133563066230646
oct16677316605700
93551243217753
101022122200000
11364530376210
121461167a6940
1375502534c05
1437684517196
151b8c3982350
hexedfb3b0bc0

1022122200000 has 672 divisors, whose sum is σ = 3708226158336. Its totient is φ = 246400000000.

The previous prime is 1022122199971. The next prime is 1022122200007. The reversal of 1022122200000 is 22212201.

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 (1022122200007) 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 95 ways as a sum of consecutive naturals, for example, 1656599692 + ... + 1656600308.

It is an arithmetic number, because the mean of its divisors is an integer number (5518193688).

Almost surely, 21022122200000 is an apocalyptic number.

1022122200000 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 1022122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854113079168).

1022122200000 is an abundant number, since it is smaller than the sum of its proper divisors (2686103958336).

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

1022122200000 is an equidigital number, since it uses as much as digits as its factorization.

1022122200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022122200000 its reverse (22212201), we get a palindrome (1022144412201).

The spelling of 1022122200000 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred thousand".