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1221212020 = 2257791091013
BaseRepresentation
bin100100011001010…
…0011011101110100
310011002220222221211
41020302203131310
510000112241040
6321102451204
742156062620
oct11062433564
93132828854
101221212020
11577384736
122a0b93b04
13166010482
14b8292180
157232a8ea
hex48ca3774

1221212020 has 96 divisors (see below), whose sum is σ = 2998195200. Its totient is φ = 409204224.

The previous prime is 1221211991. The next prime is 1221212029. The reversal of 1221212020 is 202121221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221212029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205034 + ... + 1206046.

It is an arithmetic number, because the mean of its divisors is an integer number (31231200).

Almost surely, 21221212020 is an apocalyptic number.

1221212020 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 1221212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499097600).

1221212020 is an abundant number, since it is smaller than the sum of its proper divisors (1776983180).

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

1221212020 is a wasteful number, since it uses less digits than its factorization.

1221212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1215 counting only the distinct ones).

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

The square root of 1221212020 is about 34945.8441019816. The cubic root of 1221212020 is about 1068.8834598676.

Adding to 1221212020 its reverse (202121221), we get a palindrome (1423333241).

The spelling of 1221212020 in words is "one billion, two hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 109 140 158 218 316 395 436 545 553 763 790 1013 1090 1106 1526 1580 2026 2180 2212 2765 3052 3815 4052 5065 5530 7091 7630 8611 10130 11060 14182 15260 17222 20260 28364 34444 35455 43055 60277 70910 80027 86110 110417 120554 141820 160054 172220 220834 241108 301385 320108 400135 441668 552085 560189 602770 772919 800270 1104170 1120378 1205540 1545838 1600540 2208340 2240756 2800945 3091676 3864595 5601890 7729190 8722943 11203780 15458380 17445886 34891772 43614715 61060601 87229430 122121202 174458860 244242404 305303005 610606010 1221212020