Search a number
-
+
1221200310220 = 2251141883115331
BaseRepresentation
bin10001110001010101001…
…101011110111111001100
311022202010112211110022021
4101301111031132333030
5130002004234411340
62333002304455524
7154141324236442
oct21612515367714
94282115743267
101221200310220
114309a9813a30
1217881561a5a4
138b20a865077
144316bdc0b92
1521b76003e4a
hex11c5535efcc

1221200310220 has 96 divisors (see below), whose sum is σ = 2866405957632. Its totient is φ = 433164480000.

The previous prime is 1221200310191. The next prime is 1221200310221. The reversal of 1221200310220 is 220130021221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1221200310194 and 1221200310203.

It is not an unprimeable number, because it can be changed into a prime (1221200310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79647955 + ... + 79663285.

It is an arithmetic number, because the mean of its divisors is an integer number (29858395392).

Almost surely, 21221200310220 is an apocalyptic number.

1221200310220 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 1221200310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433202978816).

1221200310220 is an abundant number, since it is smaller than the sum of its proper divisors (1645205647412).

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

1221200310220 is a wasteful number, since it uses less digits than its factorization.

1221200310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223 (or 24221 counting only the distinct ones).

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

Adding to 1221200310220 its reverse (220130021221), we get a palindrome (1441330331441).

The spelling of 1221200310220 in words is "one trillion, two hundred twenty-one billion, two hundred million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 8831 9020 15331 17662 30662 35324 44155 61324 76655 88310 97141 153310 168641 176620 194282 306620 337282 362071 388564 485705 628571 674564 724142 843205 971410 1257142 1448284 1686410 1810355 1942820 2514284 3142855 3372820 3620710 3982781 6285710 6914281 7241420 7965562 12571420 13828562 15931124 19913905 27657124 34571405 39827810 69142810 79655620 135388061 138285620 270776122 541552244 676940305 1353880610 1489268671 2707761220 2978537342 5550910501 5957074684 7446343355 11101821002 14892686710 22203642004 27754552505 29785373420 55509105010 61060015511 111018210020 122120031022 244240062044 305300077555 610600155110 1221200310220