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11442120120 = 2332531783667
BaseRepresentation
bin10101010100000000…
…01110010110111000
31002112102100221000200
422222000032112320
5141413140320440
65131220202200
7553355262534
oct125200162670
932472327020
1011442120120
114941862222
122273b39360
1311046c57a2
147a78babc4
1546e7c2c30
hex2aa00e5b8

11442120120 has 48 divisors (see below), whose sum is σ = 37186891560. Its totient is φ = 3051231936.

The previous prime is 11442120103. The next prime is 11442120121. The reversal of 11442120120 is 2102124411.

11442120120 is a `hidden beast` number, since 1 + 1 + 442 + 1 + 201 + 20 = 666.

It is a super-2 number, since 2×114421201202 (a number of 21 digits) contains 22 as substring.

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 = 11442120093 and 11442120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442120121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15891474 + ... + 15892193.

Almost surely, 211442120120 is an apocalyptic number.

11442120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442120120 is an abundant number, since it is smaller than the sum of its proper divisors (25744771440).

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

11442120120 is a wasteful number, since it uses less digits than its factorization.

11442120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31783684 (or 31783677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11442120120 its reverse (2102124411), we get a palindrome (13544244531).

The spelling of 11442120120 in words is "eleven billion, four hundred forty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 31783667 63567334 95351001 127134668 158918335 190702002 254269336 286053003 317836670 381404004 476755005 572106006 635673340 762808008 953510010 1144212012 1271346680 1430265015 1907020020 2288424024 2860530030 3814040040 5721060060 11442120120