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1022122020000 = 253541011511117
BaseRepresentation
bin11101101111110110011…
…10000100110010100000
310121201021102220110221010
432313323032010302200
5113221301214120000
62101320102100520
7133563064551114
oct16677316046240
93551242813833
101022122020000
11364530262a54
1214611671a740
13755024a0cc3
14376844ab744
151b8c3948d50
hexedfb384ca0

1022122020000 has 480 divisors, whose sum is σ = 3411435291264. Its totient is φ = 267840000000.

The previous prime is 1022122019999. The next prime is 1022122020041. The reversal of 1022122020000 is 202212201.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 915059442 + ... + 915060558.

Almost surely, 21022122020000 is an apocalyptic number.

1022122020000 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 1022122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705717645632).

1022122020000 is an abundant number, since it is smaller than the sum of its proper divisors (2389313271264).

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

1022122020000 is a wasteful number, since it uses less digits than its factorization.

1022122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1379 counting only the distinct ones).

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

Adding to 1022122020000 its reverse (202212201), we get a palindrome (1022324232201).

It can be divided in two parts, 102212 and 2020000, that added together give a palindrome (2122212).

The spelling of 1022122020000 in words is "one trillion, twenty-two billion, one hundred twenty-two million, twenty thousand".