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121121021121000 = 23353151126719837
BaseRepresentation
bin11011100010100010101111…
…011100000101000111101000
3120212212001112012210101121020
4123202202233130011013220
5111333421322401333000
61105334121242012440
734340463546404565
oct3342425734050750
9525761465711536
10121121021121000
113565815589357a
1211702094aa7120
135277881303484
1421ca4082a786c
15e00980826ba0
hex6e28af7051e8

121121021121000 has 128 divisors (see below), whose sum is σ = 378147697724160. Its totient is φ = 32277561888000.

The previous prime is 121121021120999. The next prime is 121121021121013. The reversal of 121121021121000 is 121120121121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8826919 + ... + 17892918.

It is an arithmetic number, because the mean of its divisors is an integer number (2954278888470).

Almost surely, 2121121021121000 is an apocalyptic number.

121121021121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121021121000 is an abundant number, since it is smaller than the sum of its proper divisors (257026676603160).

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

121121021121000 is a wasteful number, since it uses less digits than its factorization.

121121021121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26721372 (or 26721358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121121021121000 its reverse (121120121121), we get a palindrome (121242141242121).

The spelling of 121121021121000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1511 3000 3022 4533 6044 7555 9066 12088 15110 18132 22665 30220 36264 37775 45330 60440 75550 90660 113325 151100 181320 188875 226650 302200 377750 453300 566625 755500 906600 1133250 1511000 2266500 4533000 26719837 53439674 80159511 106879348 133599185 160319022 213758696 267198370 320638044 400797555 534396740 641276088 667995925 801595110 1068793480 1335991850 1603190220 2003987775 2671983700 3206380440 3339979625 4007975550 5343967400 6679959250 8015951100 10019938875 13359918500 16031902200 20039877750 26719837000 40079755500 40373673707 80159511000 80747347414 121121021121 161494694828 201868368535 242242042242 322989389656 403736737070 484484084484 605605105605 807473474140 968968168968 1009341842675 1211210211210 1614946948280 2018683685350 2422420422420 3028025528025 4037367370700 4844840844840 5046709213375 6056051056050 8074734741400 10093418426750 12112102112100 15140127640125 20186836853500 24224204224200 30280255280250 40373673707000 60560510560500 121121021121000