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122312141314140 = 223510120183521669
BaseRepresentation
bin11011110011111000000011…
…101111000001100001011100
3121001001221000102120120120010
4123303320003233001201130
5112012430231134023030
61112045231053323220
734522521612114111
oct3363700357014134
9531057012516503
10122312141314140
1135a77319112308
1211874ab4796510
135332ca700199b
14222bd21346908
15e21945b786b0
hex6f3e03bc185c

122312141314140 has 48 divisors (see below), whose sum is σ = 345864827337120. Its totient is φ = 32293634668800.

The previous prime is 122312141314109. The next prime is 122312141314163. The reversal of 122312141314140 is 41413141213221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122312141314098 and 122312141314107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10091754775 + ... + 10091766894.

It is an arithmetic number, because the mean of its divisors is an integer number (7205517236190).

Almost surely, 2122312141314140 is an apocalyptic number.

122312141314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312141314140 is an abundant number, since it is smaller than the sum of its proper divisors (223552686022980).

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

122312141314140 is a wasteful number, since it uses less digits than its factorization.

122312141314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20183521782 (or 20183521780 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 122312141314140 its reverse (41413141213221), we get a palindrome (163725282527361).

The spelling of 122312141314140 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-one million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 20183521669 40367043338 60550565007 80734086676 100917608345 121101130014 201835216690 242202260028 302752825035 403670433380 605505650070 1211011300140 2038535688569 4077071377138 6115607065707 8154142754276 10192678442845 12231214131414 20385356885690 24462428262828 30578035328535 40770713771380 61156070657070 122312141314140