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1221001211010 = 235737311505283
BaseRepresentation
bin10001110001001001010…
…101111110110010000010
311022201121200012011112110
4101301021111332302002
5130001102302223020
62332530433240150
7154133356023330
oct21611125766202
94281550164473
101221001211010
11430907396829
1217877aa03056
138b1a8534a99
144314d794b50
1521b637c68e0
hex11c4957ec82

1221001211010 has 128 divisors (see below), whose sum is σ = 3450612731904. Its totient is φ = 270669461760.

The previous prime is 1221001210987. The next prime is 1221001211011. The reversal of 1221001211010 is 101121001221.

It is not an unprimeable number, because it can be changed into a prime (1221001211011) by changing a digit.

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, 2163829 + ... + 2669111.

It is an arithmetic number, because the mean of its divisors is an integer number (26957911968).

Almost surely, 21221001211010 is an apocalyptic number.

1221001211010 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 1221001211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725306365952).

1221001211010 is an abundant number, since it is smaller than the sum of its proper divisors (2229611520894).

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

1221001211010 is a wasteful number, since it uses less digits than its factorization.

1221001211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505648.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221001211010 its reverse (101121001221), we get a palindrome (1322122212231).

The spelling of 1221001211010 in words is "one trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 311 370 518 555 622 777 933 1110 1295 1554 1555 1866 2177 2590 3110 3885 4354 4665 6531 7770 9330 10885 11507 13062 21770 23014 32655 34521 57535 65310 69042 80549 115070 161098 172605 241647 345210 402745 483294 505283 805490 1010566 1208235 1515849 2416470 2526415 3031698 3536981 5052830 7073962 7579245 10610943 15158490 17684905 18695471 21221886 35369810 37390942 53054715 56086413 93477355 106109430 112172826 130868297 157143013 186954710 261736594 280432065 314286026 392604891 471429039 560864130 654341485 785209782 785715065 942858078 1100001091 1308682970 1571430130 1963024455 2200002182 2357145195 3300003273 3926048910 4714290390 5500005455 5814291481 6600006546 11000010910 11628582962 16500016365 17442874443 29071457405 33000032730 34885748886 40700040367 58142914810 81400080734 87214372215 122100121101 174428744430 203500201835 244200242202 407000403670 610500605505 1221001211010