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1220212120 = 235294722381
BaseRepresentation
bin100100010111010…
…1111010110011000
310011001001012100111
41020232233112120
54444333241440
6321025214104
742144426511
oct11056572630
93131035314
101220212120
11576861476
122a0791334
13165a5030a
14b80b1a08
15721ce4ea
hex48baf598

1220212120 has 64 divisors (see below), whose sum is σ = 2900707200. Its totient is φ = 461207040.

The previous prime is 1220212109. The next prime is 1220212121. The reversal of 1220212120 is 212120221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43330 + ... + 65710.

It is an arithmetic number, because the mean of its divisors is an integer number (45323550).

Almost surely, 21220212120 is an apocalyptic number.

1220212120 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 1220212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450353600).

1220212120 is an abundant number, since it is smaller than the sum of its proper divisors (1680495080).

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

1220212120 is a wasteful number, since it uses less digits than its factorization.

1220212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22468 (or 22464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1220212120 is about 34931.5347501366. The cubic root of 1220212120 is about 1068.5916545728.

Adding to 1220212120 its reverse (212120221), we get a palindrome (1432332341).

The spelling of 1220212120 in words is "one billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 580 940 1160 1363 1880 2726 5452 6815 10904 13630 22381 27260 44762 54520 89524 111905 179048 223810 447620 649049 895240 1051907 1298098 2103814 2596196 3245245 4207628 5192392 5259535 6490490 8415256 10519070 12980980 21038140 25961960 30505303 42076280 61010606 122021212 152526515 244042424 305053030 610106060 1220212120