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1222120210122 = 233724011151807
BaseRepresentation
bin10001110010001100000…
…010100111111011001010
311022211111122210012202000
4101302030002213323022
5130010400233210442
62333233445251430
7154203164246400
oct21621402477312
94284448705660
101222120210122
11431330aa8389
12178a31703b76
138b326308436
144321823b470
1521bcbb61d4c
hex11c8c0a7eca

1222120210122 has 96 divisors (see below), whose sum is σ = 3167103421440. Its totient is φ = 348306134400.

The previous prime is 1222120210121. The next prime is 1222120210151. The reversal of 1222120210122 is 2210120212221.

It is a happy number.

1222120210122 is a `hidden beast` number, since 122 + 212 + 0 + 210 + 122 = 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 = 1222120210095 and 1222120210104.

It is not an unprimeable number, because it can be changed into a prime (1222120210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485143 + ... + 1636949.

It is an arithmetic number, because the mean of its divisors is an integer number (32990660640).

Almost surely, 21222120210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222120210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583551710720).

1222120210122 is an abundant number, since it is smaller than the sum of its proper divisors (1944983211318).

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

1222120210122 is a wasteful number, since it uses less digits than its factorization.

1222120210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152233 (or 1152220 counting only the distinct ones).

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

Adding to 1222120210122 its reverse (2210120212221), we get a palindrome (3432240422343).

The spelling of 1222120210122 in words is "one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 401 441 802 882 1203 1323 2406 2646 2807 3609 5614 7218 8421 10827 16842 19649 21654 25263 39298 50526 58947 75789 117894 151578 176841 353682 530523 1061046 1151807 2303614 3455421 6910842 8062649 10366263 16125298 20732526 24187947 31098789 48375894 56438543 62197578 72563841 112877086 145127682 169315629 217691523 338631258 435383046 461874607 507946887 923749214 1015893774 1385623821 1523840661 2771247642 3047681322 3233122249 4156871463 6466244498 8313742926 9699366747 12470614389 19398733494 22631855743 24941228778 29098100241 45263711486 58196200482 67895567229 87294300723 135791134458 174588601446 203686701687 407373403374 611060105061 1222120210122