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201121121120 = 2551257007007
BaseRepresentation
bin1011101101001111000…
…0001100001101100000
3201020010110212112112212
42323103300030031200
511243344001333440
6232221015341252
720346653215463
oct2732360141540
9636113775485
10201121121120
11783276a2087
1232b8b081828
1315c7268665a
149a3cd5b2da
155371acd465
hex2ed3c0c360

201121121120 has 24 divisors (see below), whose sum is σ = 475148649024. Its totient is φ = 80448448384.

The previous prime is 201121121051. The next prime is 201121121189. The reversal of 201121121120 is 21121121102.

It is an interprime number because it is at equal distance from previous prime (201121121051) and next prime (201121121189).

It is a junction number, because it is equal to n+sod(n) for n = 201121121095 and 201121121104.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 628503344 + ... + 628503663.

It is an arithmetic number, because the mean of its divisors is an integer number (19797860376).

Almost surely, 2201121121120 is an apocalyptic number.

201121121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121121120 is an abundant number, since it is smaller than the sum of its proper divisors (274027527904).

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

201121121120 is a wasteful number, since it uses less digits than its factorization.

201121121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257007022 (or 1257007014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121121120 its reverse (21121121102), we get a palindrome (222242242222).

The spelling of 201121121120 in words is "two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1257007007 2514014014 5028028028 6285035035 10056056056 12570070070 20112112112 25140140140 40224224224 50280280280 100560560560 201121121120