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1211211010020 = 2235111835168197
BaseRepresentation
bin10001101000000001110…
…011010100111111100100
311021210100101012102112210
4101220001303110333210
5124321030004310040
62324231143243420
7153335636500314
oct21500163247744
94253311172483
101211211010020
11427743047930
121768a8149570
138a2a8152b4b
14428a1445444
152178e05b480
hex11a01cd4fe4

1211211010020 has 48 divisors (see below), whose sum is σ = 3699699087168. Its totient is φ = 293626911360.

The previous prime is 1211211009977. The next prime is 1211211010133. The reversal of 1211211010020 is 200101121121.

It is a super-3 number, since 3×12112110100203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1211211009978 and 1211211010005.

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 15 ways as a sum of consecutive naturals, for example, 917583439 + ... + 917584758.

It is an arithmetic number, because the mean of its divisors is an integer number (77077064316).

Almost surely, 21211211010020 is an apocalyptic number.

1211211010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211211010020 is an abundant number, since it is smaller than the sum of its proper divisors (2488488077148).

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

1211211010020 is a wasteful number, since it uses less digits than its factorization.

1211211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835168220 (or 1835168218 counting only the distinct ones).

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

Adding to 1211211010020 its reverse (200101121121), we get a palindrome (1411312131141).

The spelling of 1211211010020 in words is "one trillion, two hundred eleven billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1835168197 3670336394 5505504591 7340672788 9175840985 11011009182 18351681970 20186850167 22022018364 27527522955 36703363940 40373700334 55055045910 60560550501 80747400668 100934250835 110110091820 121121101002 201868501670 242242202004 302802752505 403737003340 605605505010 1211211010020