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120001111001020 = 22523212829884111
BaseRepresentation
bin11011010010001111101111…
…100110000000011110111100
3120201212222211202022201211101
4123102033233212000132330
5111212044233404013040
61103115425505302444
734163536253426164
oct3322175746003674
9521788752281741
10120001111001020
1135266204812777
1211561029334a24
1351c609665ca22
14218c1288335a4
15dd1786e6109a
hex6d23ef9807bc

120001111001020 has 72 divisors (see below), whose sum is σ = 263456163552960. Its totient is φ = 45909837747840.

The previous prime is 120001111001003. The next prime is 120001111001029. The reversal of 120001111001020 is 20100111100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120001111000988 and 120001111001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001111001029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135288765 + ... + 136172875.

It is an arithmetic number, because the mean of its divisors is an integer number (3659113382680).

Almost surely, 2120001111001020 is an apocalyptic number.

120001111001020 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 120001111001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131728081776480).

120001111001020 is an abundant number, since it is smaller than the sum of its proper divisors (143455052551940).

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

120001111001020 is a wasteful number, since it uses less digits than its factorization.

120001111001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896995 (or 896970 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120001111001020 its reverse (20100111100021), we get a palindrome (140101222101041).

Subtracting from 120001111001020 its reverse (20100111100021), we obtain a palindrome (99900999900999).

The spelling of 120001111001020 in words is "one hundred twenty trillion, one billion, one hundred eleven million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 5290 10580 12829 25658 51316 64145 128290 256580 295067 590134 884111 1180268 1475335 1768222 2950670 3536444 4420555 5901340 6786541 8841110 13573082 17682220 20334553 27146164 33932705 40669106 67865410 81338212 101672765 135730820 203345530 406691060 467694719 935389438 1870778876 2338473595 4676947190 9353894380 11342260019 22684520038 45369040076 56711300095 113422600190 226845200380 260871980437 521743960874 1043487921748 1304359902185 2608719804370 5217439608740 6000055550051 12000111100102 24000222200204 30000277750255 60000555500510 120001111001020