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121152315445020 = 223351117200855989
BaseRepresentation
bin11011100010111111111000…
…101110011100111100011100
3120212222001022011120202202000
4123202333320232130330130
5111334424420223220040
61105400334432002300
734342652213644056
oct3342777056347434
9525861264522660
10121152315445020
113566a4546a8382
1211708169390390
13527a7ca896b72
1421cbb365968d6
15e016b2dbe130
hex6e2ff8b9cf1c

121152315445020 has 96 divisors (see below), whose sum is σ = 377255754657600. Its totient is φ = 32278360695552.

The previous prime is 121152315444973. The next prime is 121152315445027. The reversal of 121152315445020 is 20544513251121.

121152315445020 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 52 + 3 + 154 + 450 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121152315445027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99824815 + ... + 101031174.

It is an arithmetic number, because the mean of its divisors is an integer number (3929747444350).

Almost surely, 2121152315445020 is an apocalyptic number.

121152315445020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121152315445020 is an abundant number, since it is smaller than the sum of its proper divisors (256103439212580).

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

121152315445020 is a wasteful number, since it uses less digits than its factorization.

121152315445020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200857124 (or 200857116 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 121152315445020 its reverse (20544513251121), we get a palindrome (141696828696141).

The spelling of 121152315445020 in words is "one hundred twenty-one trillion, one hundred fifty-two billion, three hundred fifteen million, four hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1117 2234 3351 4468 5585 6702 10053 11170 13404 16755 20106 22340 30159 33510 40212 50265 60318 67020 100530 120636 150795 201060 301590 603180 200855989 401711978 602567967 803423956 1004279945 1205135934 1807703901 2008559890 2410271868 3012839835 3615407802 4017119780 5423111703 6025679670 7230815604 9038519505 10846223406 12051359340 18077039010 21692446812 27115558515 36154078020 54231117030 108462234060 224356139713 448712279426 673068419139 897424558852 1121780698565 1346136838278 2019205257417 2243561397130 2692273676556 3365342095695 4038410514834 4487122794260 6057615772251 6730684191390 8076821029668 10096026287085 12115231544502 13461368382780 20192052574170 24230463089004 30288078861255 40384105148340 60576157722510 121152315445020