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1022120210020 = 2257132411377691
BaseRepresentation
bin11101101111110110001…
…11001010111001100100
310121201021022111112002211
432313323013022321210
5113221300233210040
62101315555213204
7133563043302160
oct16677307127144
93551238445084
101022120210020
1136452a2370a8
12146115ba7204
1375501cb9200
1437684159ca0
151b8c36dc8ea
hexedfb1cae64

1022120210020 has 288 divisors, whose sum is σ = 2741309174016. Its totient is φ = 313249996800.

The previous prime is 1022120210003. The next prime is 1022120210047. The reversal of 1022120210020 is 200120212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132894375 + ... + 132902065.

It is an arithmetic number, because the mean of its divisors is an integer number (9518434632).

Almost surely, 21022120210020 is an apocalyptic number.

1022120210020 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 1022120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370654587008).

1022120210020 is an abundant number, since it is smaller than the sum of its proper divisors (1719188963996).

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

1022120210020 is a wasteful number, since it uses less digits than its factorization.

1022120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022120210020 its reverse (200120212201), we get a palindrome (1222240422221).

The spelling of 1022120210020 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred ten thousand, twenty".