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121311231313000 = 2353121621997453
BaseRepresentation
bin11011100101010011111000…
…110110011000010001101000
3120220112020111021211022012011
4123211103320312120101220
5111400030400204004000
61110001335454325304
734360306254353401
oct3345237066302150
9526466437738164
10121311231313000
1135720893554063
1211732b19ab9834
13528c7a534a541
1421d56d00dc9a8
15e058b45ac2ba
hex6e54f8d98468

121311231313000 has 64 divisors (see below), whose sum is σ = 283870899907920. Its totient is φ = 48524044896000.

The previous prime is 121311231312961. The next prime is 121311231313073. The reversal of 121311231313000 is 313132113121.

It can be written as a sum of positive squares in 8 ways, for example, as 5190477740644 + 116120753572356 = 2278262^2 + 10775934^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121122274 + ... + 122119726.

Almost surely, 2121311231313000 is an apocalyptic number.

121311231313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121311231313000 is an abundant number, since it is smaller than the sum of its proper divisors (162559668594920).

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

121311231313000 is a wasteful number, since it uses less digits than its factorization.

121311231313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119095 (or 1119081 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 121311231313000 its reverse (313132113121), we get a palindrome (121624363426121).

The spelling of 121311231313000 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred thirty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 121621 243242 486484 608105 972968 997453 1216210 1994906 2432420 3040525 3989812 4864840 4987265 6081050 7979624 9974530 12162100 15202625 19949060 24324200 24936325 30405250 39898120 49872650 60810500 99745300 121621000 124681625 199490600 249363250 498726500 997453000 121311231313 242622462626 485244925252 606556156565 970489850504 1213112313130 2426224626260 3032780782825 4852449252520 6065561565650 12131123131300 15163903914125 24262246262600 30327807828250 60655615656500 121311231313000