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121311133220 = 2256065556661
BaseRepresentation
bin111000011111010110…
…1001111111000100100
3102121010101022002011002
41300332231033320210
53441421122230340
6131421330332432
711523126422144
oct1607655177044
9377111262132
10121311133220
11474a1a769a2
121b616a2a118
13b593a1c944
145c2b524924
153250144715
hex1c3eb4fe24

121311133220 has 12 divisors (see below), whose sum is σ = 254753379804. Its totient is φ = 48524453280.

The previous prime is 121311133219. The next prime is 121311133241. The reversal of 121311133220 is 22331113121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12310790116 + 109000343104 = 110954^2 + 330152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6065556661 = 121311133220 / (1 + 2 + 1 + 3 + 1 + 1 + 1 + 3 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 121311133192 and 121311133201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3032778311 + ... + 3032778350.

It is an arithmetic number, because the mean of its divisors is an integer number (21229448317).

Almost surely, 2121311133220 is an apocalyptic number.

121311133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121311133220 is an abundant number, since it is smaller than the sum of its proper divisors (133442246584).

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

121311133220 is a wasteful number, since it uses less digits than its factorization.

121311133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065556670 (or 6065556668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121311133220 its reverse (22331113121), we get a palindrome (143642246341).

The spelling of 121311133220 in words is "one hundred twenty-one billion, three hundred eleven million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6065556661 12131113322 24262226644 30327783305 60655566610 121311133220