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1221122210020 = 225138144211521
BaseRepresentation
bin10001110001010000100…
…011100011100011100100
311022201221002212112222021
4101301100203203203210
5130001324241210040
62332550434512524
7154136355345166
oct21612043434344
94281832775867
101221122210020
11430969720109
121787b3435744
138b1c761b62b
1443161890936
1521b6e22824a
hex11c508e38e4

1221122210020 has 24 divisors (see below), whose sum is σ = 2566213582968. Its totient is φ = 488095180800.

The previous prime is 1221122209997. The next prime is 1221122210059. The reversal of 1221122210020 is 200122211221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34486718436 + 1186635491584 = 185706^2 + 1089328^2 .

It is a super-2 number, since 2×12211222100202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221122209976 and 1221122210003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22078141 + ... + 22133380.

It is an arithmetic number, because the mean of its divisors is an integer number (106925565957).

Almost surely, 21221122210020 is an apocalyptic number.

1221122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221122210020 is an abundant number, since it is smaller than the sum of its proper divisors (1345091372948).

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

1221122210020 is a wasteful number, since it uses less digits than its factorization.

1221122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44212911 (or 44212909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1221122210020 its reverse (200122211221), we get a palindrome (1421244421241).

The spelling of 1221122210020 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1381 2762 5524 6905 13810 27620 44211521 88423042 176846084 221057605 442115210 884230420 61056110501 122112221002 244224442004 305280552505 610561105010 1221122210020