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121120012121000 = 23531736827102551
BaseRepresentation
bin11011100010100001110011…
…010011000011001110101000
3120212211221220220011212210212
4123202201303103003032220
5111333412241100333000
61105333433155400252
734340426545140614
oct3342416323031650
9525757826155725
10121120012121000
1135657788282982
1211701a52bb3088
135277750264959
1421ca350296344
15e00921e68c35
hex6e28734c33a8

121120012121000 has 128 divisors (see below), whose sum is σ = 285103633800960. Its totient is φ = 48160433440000.

The previous prime is 121120012120979. The next prime is 121120012121023. The reversal of 121120012121000 is 121210021121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181019725 + ... + 1181122275.

It is an arithmetic number, because the mean of its divisors is an integer number (2227372139070).

Almost surely, 2121120012121000 is an apocalyptic number.

121120012121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120012121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142551816900480).

121120012121000 is an abundant number, since it is smaller than the sum of its proper divisors (163983621679960).

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

121120012121000 is a wasteful number, since it uses less digits than its factorization.

121120012121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109572 (or 109558 counting only the distinct ones).

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

Adding to 121120012121000 its reverse (121210021121), we get a palindrome (121241222142121).

It can be divided in two parts, 1211200121 and 21000, that added together give a palindrome (1211221121).

The spelling of 121120012121000 in words is "one hundred twenty-one trillion, one hundred twenty billion, twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 865 1000 1384 1730 3460 4325 6827 6920 8650 13654 17300 21625 27308 34135 34600 43250 54616 68270 86500 102551 136540 170675 173000 205102 273080 341350 410204 512755 682700 820408 853375 1025510 1181071 1365400 1706750 2051020 2362142 2563775 3413500 4102040 4724284 5127550 5905355 6827000 9448568 10255100 11810710 12818875 17741323 20510200 23621420 25637750 29526775 35482646 47242840 51275500 59053550 70965292 88706615 102551000 118107100 141930584 147633875 177413230 236214200 295267750 354826460 443533075 590535500 700115677 709652920 887066150 1181071000 1400231354 1774132300 2217665375 2800462708 3500578385 3548264600 4435330750 5600925416 7001156770 8870661500 14002313540 17502891925 17741323000 28004627080 35005783850 70011567700 87514459625 121120012121 140023135400 175028919250 242240024242 350057838500 484480048484 605600060605 700115677000 968960096968 1211200121210 2422400242420 3028000303025 4844800484840 6056000606050 12112001212100 15140001515125 24224002424200 30280003030250 60560006060500 121120012121000