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1000122002220 = 22351179145913147
BaseRepresentation
bin11101000110110111110…
…10101010101100101100
310112121111012222210001210
432203123322222230230
5112341222213032340
62043241045234420
7132153645516435
oct16433372525454
93477435883053
101000122002220
11356170884a80
121419b6a02a10
1373407643bc3
143659872448c
151b037315180
hexe8dbeaab2c

1000122002220 has 192 divisors, whose sum is σ = 3095943782400. Its totient is φ = 239202512640.

The previous prime is 1000122002219. The next prime is 1000122002287. The reversal of 1000122002220 is 222002210001.

It is a super-3 number, since 3×10001220022203 (a number of 37 digits) contains 333 as substring.

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 = 1000122002196 and 1000122002205.

It is an unprimeable number.

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, 76065687 + ... + 76078833.

It is an arithmetic number, because the mean of its divisors is an integer number (16124707200).

Almost surely, 21000122002220 is an apocalyptic number.

1000122002220 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 1000122002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547971891200).

1000122002220 is an abundant number, since it is smaller than the sum of its proper divisors (2095821780180).

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

1000122002220 is a wasteful number, since it uses less digits than its factorization.

1000122002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14706 counting only the distinct ones).

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

Adding to 1000122002220 its reverse (222002210001), we get a palindrome (1222124212221).

The spelling of 1000122002220 in words is "one trillion, one hundred twenty-two million, two thousand, two hundred twenty".