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1221012101220 = 2235375237105023
BaseRepresentation
bin10001110001001001111…
…111100001100001100100
311022201122102200110002120
4101301021333201201210
5130001113044214340
62332531502505540
7154133550421242
oct21611177414144
94281572613076
101221012101220
114309125547aa
121787825952b0
138b1aa8788b2
1443150dcb792
1521b647284d0
hex11c49fe1864

1221012101220 has 96 divisors (see below), whose sum is σ = 3511938705408. Its totient is φ = 316739630592.

The previous prime is 1221012101213. The next prime is 1221012101291. The reversal of 1221012101220 is 221012101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221012101220.

It is an unprimeable number.

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, 11573629 + ... + 11678651.

It is an arithmetic number, because the mean of its divisors is an integer number (36582694848).

Almost surely, 21221012101220 is an apocalyptic number.

1221012101220 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 1221012101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755969352704).

1221012101220 is an abundant number, since it is smaller than the sum of its proper divisors (2290926604188).

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

1221012101220 is a wasteful number, since it uses less digits than its factorization.

1221012101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110309 (or 110307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221012101220 its reverse (221012101221), we get a palindrome (1442024202441).

Subtracting from 1221012101220 its reverse (221012101221), we obtain a palindrome (999999999999).

The spelling of 1221012101220 in words is "one trillion, two hundred twenty-one billion, twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5237 10474 15711 20948 26185 31422 52370 62844 78555 104740 105023 157110 193769 210046 314220 315069 387538 420092 525115 581307 630138 775076 968845 1050230 1162614 1260276 1575345 1937690 2100460 2325228 2906535 3150690 3875380 3885851 5813070 6301380 7771702 11626140 11657553 15543404 19429255 23315106 38858510 46630212 58287765 77717020 116575530 233151060 550005451 1100010902 1650016353 2200021804 2750027255 3300032706 5500054510 6600065412 8250081765 11000109020 16500163530 20350201687 33000327060 40700403374 61050605061 81400806748 101751008435 122101210122 203502016870 244202420244 305253025305 407004033740 610506050610 1221012101220