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122313121020 = 22325679517339
BaseRepresentation
bin111000111101001101…
…1100001110011111100
3102200201012201100000100
41301322123201303330
54000444124333040
6132105002401100
711560014242316
oct1617233416374
9380635640010
10122313121020
1147966628192
121b856500190
13b6c34a482c
145cc462c7b6
1532ad0b9b30
hex1c7a6e1cfc

122313121020 has 36 divisors (see below), whose sum is σ = 371016467640. Its totient is φ = 32616832224.

The previous prime is 122313120997. The next prime is 122313121031. The reversal of 122313121020 is 20121313221.

122313121020 is a `hidden beast` number, since 122 + 313 + 1 + 210 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122313120984 and 122313121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339758490 + ... + 339758849.

It is an arithmetic number, because the mean of its divisors is an integer number (10306012990).

Almost surely, 2122313121020 is an apocalyptic number.

122313121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122313121020 is an abundant number, since it is smaller than the sum of its proper divisors (248703346620).

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

122313121020 is a wasteful number, since it uses less digits than its factorization.

122313121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679517354 (or 679517349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122313121020 its reverse (20121313221), we get a palindrome (142434434241).

The spelling of 122313121020 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 679517339 1359034678 2038552017 2718069356 3397586695 4077104034 6115656051 6795173390 8154208068 10192760085 12231312102 13590346780 20385520170 24462624204 30578280255 40771040340 61156560510 122313121020