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120213121220 = 225193118795431
BaseRepresentation
bin110111111110101000…
…0101010100011000100
3102111021212012021211222
41233331100222203010
53432144024334340
6131120344215512
711453664446033
oct1577520524304
9374255167758
10120213121220
1146a8919a265
121b36b16a598
13b44a3b6aba
145b6578271a
1531d8a528b5
hex1bfd42a8c4

120213121220 has 96 divisors (see below), whose sum is σ = 274502860800. Its totient is φ = 44053372800.

The previous prime is 120213121219. The next prime is 120213121229. The reversal of 120213121220 is 22121312021.

It is not an unprimeable number, because it can be changed into a prime (120213121229) 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 31 ways as a sum of consecutive naturals, for example, 22131905 + ... + 22137335.

It is an arithmetic number, because the mean of its divisors is an integer number (2859404800).

Almost surely, 2120213121220 is an apocalyptic number.

120213121220 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 120213121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137251430400).

120213121220 is an abundant number, since it is smaller than the sum of its proper divisors (154289739580).

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

120213121220 is a wasteful number, since it uses less digits than its factorization.

120213121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120213121220 its reverse (22121312021), we get a palindrome (142334433241).

The spelling of 120213121220 in words is "one hundred twenty billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 1879 2356 2945 3758 5431 5890 7516 9395 10862 11780 18790 21724 27155 35701 37580 54310 58249 71402 103189 108620 116498 142804 168361 178505 206378 232996 291245 336722 357010 412756 515945 582490 673444 714020 841805 1031890 1106731 1164980 1683610 2063780 2213462 3198859 3367220 4426924 5533655 6397718 10204849 11067310 12795436 15994295 20409698 22134620 31988590 40819396 51024245 63977180 102048490 193892131 204096980 316350319 387784262 632700638 775568524 969460655 1265401276 1581751595 1938921310 3163503190 3877842620 6010656061 6327006380 12021312122 24042624244 30053280305 60106560610 120213121220