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1241121421440 = 27325673216007
BaseRepresentation
bin10010000011111000100…
…110011111100010000000
311101122112212220202111100
4102003320212133202000
5130313304040441230
62350055135214400
7155445101006055
oct22037046374200
94348485822440
101241121421440
114393a176070a
12180655077400
1390063aab344
14440dba0d02c
152243ed8a660
hex120f899f880

1241121421440 has 192 divisors, whose sum is σ = 4349715140160. Its totient is φ = 326025824256.

The previous prime is 1241121421427. The next prime is 1241121421451. The reversal of 1241121421440 is 441241211421.

1241121421440 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 1 + 214 + 2 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222084 + ... + 1993923.

It is an arithmetic number, because the mean of its divisors is an integer number (22654766355).

Almost surely, 21241121421440 is an apocalyptic number.

1241121421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241121421440 is an abundant number, since it is smaller than the sum of its proper divisors (3108593718720).

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

1241121421440 is a wasteful number, since it uses less digits than its factorization.

1241121421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216099 (or 3216084 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1241121421440 its reverse (441241211421), we get a palindrome (1682362632861).

The spelling of 1241121421440 in words is "one trillion, two hundred forty-one billion, one hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".