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1221331122330 = 2351114942735813
BaseRepresentation
bin10001110001011101000…
…000011111100010011010
311022202110122222101210020
4101301131000133202122
5130002241231403310
62333023300331310
7154144503152034
oct21613500374232
94282418871706
101221331122330
11430a66640010
121788513a3b36
138b22b9a6397
1443181512c54
1521b82743170
hex11c5d01f89a

1221331122330 has 128 divisors (see below), whose sum is σ = 3220435065600. Its totient is φ = 293973749760.

The previous prime is 1221331122293. The next prime is 1221331122359. The reversal of 1221331122330 is 332211331221.

It is a self number, because there is not a number n which added to its sum of digits gives 1221331122330.

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 63 ways as a sum of consecutive naturals, for example, 210100504 + ... + 210106316.

It is an arithmetic number, because the mean of its divisors is an integer number (25159648950).

Almost surely, 21221331122330 is an apocalyptic number.

1221331122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221331122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610217532800).

1221331122330 is an abundant number, since it is smaller than the sum of its proper divisors (1999103943270).

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

1221331122330 is a wasteful number, since it uses less digits than its factorization.

1221331122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1221331122330 its reverse (332211331221), we get a palindrome (1553542453551).

The spelling of 1221331122330 in words is "one trillion, two hundred twenty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 149 165 298 330 447 745 894 1490 1639 2235 3278 4273 4470 4917 5813 8195 8546 9834 11626 12819 16390 17439 21365 24585 25638 29065 34878 42730 47003 49170 58130 63943 64095 87195 94006 127886 128190 141009 174390 191829 235015 282018 319715 383658 470030 636677 639430 705045 866137 959145 1273354 1410090 1732274 1910031 1918290 2598411 3183385 3820062 4330685 5196822 6366770 7003447 8661370 9527507 9550155 12992055 14006894 19055014 19100310 21010341 24838949 25984110 28582521 35017235 42020682 47637535 49677898 57165042 70034470 74516847 95275070 105051705 124194745 142912605 149033694 210103410 248389490 273228439 285825210 372584235 546456878 745168470 819685317 1366142195 1639370634 2732284390 3701003401 4098426585 7402006802 8196853170 11103010203 18505017005 22206020406 37010034010 40711037411 55515051015 81422074822 111030102030 122133112233 203555187055 244266224466 407110374110 610665561165 1221331122330