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1212121020 = 22351112714461
BaseRepresentation
bin100100000111111…
…0111111110111100
310010110211010110010
41020033313332330
54440300333040
6320135543220
742015600345
oct11017677674
93113733403
101212121020
11572235510
12299b2ab10
13164179596
14b6da70cc
1571631e80
hex483f7fbc

1212121020 has 96 divisors (see below), whose sum is σ = 3731890176. Its totient is φ = 291513600.

The previous prime is 1212120991. The next prime is 1212121037. The reversal of 1212121020 is 201212121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1212120987 and 1212121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76590 + ... + 91050.

It is an arithmetic number, because the mean of its divisors is an integer number (38873856).

Almost surely, 21212121020 is an apocalyptic number.

1212121020 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 1212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865945088).

1212121020 is an abundant number, since it is smaller than the sum of its proper divisors (2519769156).

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

1212121020 is a wasteful number, since it uses less digits than its factorization.

1212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1212121020 is about 34815.5284320086. The cubic root of 1212121020 is about 1066.2245079292.

Adding to 1212121020 its reverse (201212121), we get a palindrome (1413333141).

The spelling of 1212121020 in words is "one billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1270 1397 1524 1905 2540 2794 3810 4191 5588 6985 7620 8382 13970 14461 16764 20955 27940 28922 41910 43383 57844 72305 83820 86766 144610 159071 173532 216915 289220 318142 433830 477213 636284 795355 867660 954426 1590710 1836547 1908852 2386065 3181420 3673094 4772130 5509641 7346188 9182735 9544260 11019282 18365470 20202017 22038564 27548205 36730940 40404034 55096410 60606051 80808068 101010085 110192820 121212102 202020170 242424204 303030255 404040340 606060510 1212121020