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121121110232200 = 235213431083373079
BaseRepresentation
bin11011100010100010110100…
…110000000000110010001000
3120212212001202102110201012001
4123202202310300000302020
5111333422013204412300
61105334134144000344
734340466011006161
oct3342426460006210
9525761672421161
10121121110232200
11356581a11180a1
12117020ba9000b4
1352778969039b0
1421ca416062768
15e0098857a16a
hex6e28b4c00c88

121121110232200 has 96 divisors (see below), whose sum is σ = 310321385035200. Its totient is φ = 43681602504960.

The previous prime is 121121110232197. The next prime is 121121110232207. The reversal of 121121110232200 is 2232011121121.

121121110232200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121121110232207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 541574740 + ... + 541798339.

It is an arithmetic number, because the mean of its divisors is an integer number (3232514427450).

Almost surely, 2121121110232200 is an apocalyptic number.

121121110232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121110232200 is an abundant number, since it is smaller than the sum of its proper divisors (189200274803000).

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

121121110232200 is a wasteful number, since it uses less digits than its factorization.

121121110232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083373151 (or 1083373142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 121121110232200 its reverse (2232011121121), we get a palindrome (123353121353321).

The spelling of 121121110232200 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 130 172 200 215 260 325 344 430 520 559 650 860 1075 1118 1300 1720 2150 2236 2600 2795 4300 4472 5590 8600 11180 13975 22360 27950 55900 111800 1083373079 2166746158 4333492316 5416865395 8666984632 10833730790 14083850027 21667461580 27084326975 28167700054 43334923160 46585042397 54168653950 56335400108 70419250135 93170084794 108337307900 112670800216 140838500270 186340169588 216674615800 232925211985 281677000540 352096250675 372680339176 465850423970 563354001080 605605551161 704192501350 931700847940 1164626059925 1211211102322 1408385002700 1863401695880 2329252119850 2422422204644 2816770005400 3028027755805 4658504239700 4844844409288 6056055511610 9317008479400 12112111023220 15140138779025 24224222046440 30280277558050 60560555116100 121121110232200