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1222120212120 = 23335291012111831
BaseRepresentation
bin10001110010001100000…
…010101000011010011000
311022211111122210022111000
4101302030002220122120
5130010400233241440
62333233445305000
7154203164255253
oct21621402503230
94284448708430
101222120212120
11431330aa9935
12178a31705160
138b326309312
144321823c09a
1521bcbb62730
hex11c8c0a8698

1222120212120 has 512 divisors, whose sum is σ = 4278438144000. Its totient is φ = 309899520000.

The previous prime is 1222120212067. The next prime is 1222120212133. The reversal of 1222120212120 is 212120212221.

It is a happy number.

1222120212120 is a `hidden beast` number, since 122 + 212 + 0 + 212 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222120212093 and 1222120212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 667459605 + ... + 667461435.

It is an arithmetic number, because the mean of its divisors is an integer number (8356324500).

Almost surely, 21222120212120 is an apocalyptic number.

1222120212120 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 1222120212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139219072000).

1222120212120 is an abundant number, since it is smaller than the sum of its proper divisors (3056317931880).

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

1222120212120 is a wasteful number, since it uses less digits than its factorization.

1222120212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2182 counting only the distinct ones).

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

Adding to 1222120212120 its reverse (212120212221), we get a palindrome (1434240424341).

The spelling of 1222120212120 in words is "one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".