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121122012220 = 225114154124821
BaseRepresentation
bin111000011001101101…
…1110011110000111100
3102120122012102201220121
41300303123303300330
53441024213342340
6131350453024324
711515342055026
oct1606333636074
9376565381817
10121122012220
1147405244550
121b5836250a4
13b5637a4321
145c10375016
15323d73894a
hex1c336f3c3c

121122012220 has 96 divisors (see below), whose sum is σ = 284784196032. Its totient is φ = 42888960000.

The previous prime is 121122012191. The next prime is 121122012241. The reversal of 121122012220 is 22210221121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121122012194 and 121122012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867410 + ... + 4892230.

It is an arithmetic number, because the mean of its divisors is an integer number (2966502042).

Almost surely, 2121122012220 is an apocalyptic number.

121122012220 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 121122012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142392098016).

121122012220 is an abundant number, since it is smaller than the sum of its proper divisors (163662183812).

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

121122012220 is a wasteful number, since it uses less digits than its factorization.

121122012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25423 (or 25421 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121122012220 its reverse (22210221121), we get a palindrome (143332233341).

The spelling of 121122012220 in words is "one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 541 820 902 1082 1804 2164 2255 2705 4510 5410 5951 9020 10820 11902 22181 23804 24821 29755 44362 49642 59510 88724 99284 110905 119020 124105 221810 243991 248210 273031 443620 487982 496420 546062 975964 1017661 1092124 1219955 1365155 2035322 2439910 2730310 4070644 4879820 5088305 5460620 10176610 11194271 13428161 20353220 22388542 26856322 44777084 53712644 55971355 67140805 111942710 134281610 147709771 223885420 268563220 295419542 550554601 590839084 738548855 1101109202 1477097710 2202218404 2752773005 2954195420 5505546010 6056100611 11011092020 12112201222 24224402444 30280503055 60561006110 121122012220