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10220211222012 = 22331147837972767
BaseRepresentation
bin1001010010111001010000…
…0011110011010111111100
31100012001011002111101201000
42110232110003303113330
52314421443033101022
633423033351450300
72103246235011651
oct224562403632774
940161132441630
1010220211222012
113290404881490
1211908b4086990
135919b983845c
14274937599c28
1512acb79576ac
hex94b940f35fc

10220211222012 has 384 divisors, whose sum is σ = 29924629217280. Its totient is φ = 2989781349120.

The previous prime is 10220211221989. The next prime is 10220211222017. The reversal of 10220211222012 is 21022211202201.

It is a happy number.

10220211222012 is a `hidden beast` number, since 1 + 0 + 220 + 211 + 2 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220211222017) 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 127 ways as a sum of consecutive naturals, for example, 3693605853 + ... + 3693608619.

It is an arithmetic number, because the mean of its divisors is an integer number (77928721920).

Almost surely, 210220211222012 is an apocalyptic number.

10220211222012 is a gapful number since it is divisible by the number (12) 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 10220211222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962314608640).

10220211222012 is an abundant number, since it is smaller than the sum of its proper divisors (19704417995268).

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

10220211222012 is a wasteful number, since it uses less digits than its factorization.

10220211222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10220211222012 its reverse (21022211202201), we get a palindrome (31242422424213).

The spelling of 10220211222012 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, twelve".