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1321221220 = 2251159101789
BaseRepresentation
bin100111011000000…
…0011110001100100
310102002002222210021
41032300003301210
510201213034340
6335034204524
744512123624
oct11660036144
93362088707
101321221220
11618882070
1230a583744
13180958207
14c7686884
157aed2e4a
hex4ec03c64

1321221220 has 48 divisors (see below), whose sum is σ = 3078129600. Its totient is φ = 472296320.

The previous prime is 1321221217. The next prime is 1321221229. The reversal of 1321221220 is 221221231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1321221194 and 1321221203.

It is not an unprimeable number, because it can be changed into a prime (1321221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37915 + ... + 63874.

It is an arithmetic number, because the mean of its divisors is an integer number (64127700).

Almost surely, 21321221220 is an apocalyptic number.

1321221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321221220 is an abundant number, since it is smaller than the sum of its proper divisors (1756908380).

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

1321221220 is a wasteful number, since it uses less digits than its factorization.

1321221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101868 (or 101866 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1321221220 is about 36348.6068508822. The cubic root of 1321221220 is about 1097.2994968947.

Adding to 1321221220 its reverse (221221231), we get a palindrome (1542442451).

The spelling of 1321221220 in words is "one billion, three hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 101789 203578 407156 508945 1017890 1119679 2035780 2239358 4478716 5598395 6005551 11196790 12011102 22393580 24022204 30027755 60055510 66061061 120111020 132122122 264244244 330305305 660610610 1321221220