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1001201120120 = 235419547910903
BaseRepresentation
bin11101001000111000011…
…11001011001101111000
310112201021102112122112102
432210130033023031320
5112400424441320440
62043540114402532
7132222461050655
oct16443417131570
93481242478472
101001201120120
11356674a27253
12142058290448
137354a092ac6
143665bb88c2c
151b09be23b15
hexe91c3cb378

1001201120120 has 64 divisors (see below), whose sum is σ = 2258698176000. Its totient is φ = 399415091328.

The previous prime is 1001201120107. The next prime is 1001201120131. The reversal of 1001201120120 is 210211021001.

It is a super-4 number, since 4×10012011201204 (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91822589 + ... + 91833491.

It is an arithmetic number, because the mean of its divisors is an integer number (35292159000).

Almost surely, 21001201120120 is an apocalyptic number.

1001201120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001201120120 is an abundant number, since it is smaller than the sum of its proper divisors (1257497055880).

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

1001201120120 is a wasteful number, since it uses less digits than its factorization.

1001201120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16812 (or 16808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001201120120 its reverse (210211021001), we get a palindrome (1211412141121).

The spelling of 1001201120120 in words is "one trillion, one billion, two hundred one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 419 838 1676 2095 3352 4190 5479 8380 10903 10958 16760 21806 21916 27395 43612 43832 54515 54790 87224 109030 109580 218060 219160 436120 2295701 4568357 4591402 9136714 9182804 11478505 18273428 18365608 22841785 22957010 36546856 45683570 45914020 59737537 91367140 91828040 119475074 182734280 238950148 298687685 477900296 597375370 1194750740 2389501480 25030028003 50060056006 100120112012 125150140015 200240224024 250300280030 500600560060 1001201120120