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120011200020090 = 23255346154576097
BaseRepresentation
bin11011010010011001001000…
…111100100011111001111010
3120201220221212212121000011100
4123102121020330203321322
5111212230414201120330
61103124214552112230
734164344261610021
oct3322311074437172
9521827785530140
10120011200020090
113526a5117a9065
1211562b84095676
1351c70139177b2
14218c8047298b8
15dd1b77a55060
hex6d2648f23e7a

120011200020090 has 96 divisors (see below), whose sum is σ = 318606091339536. Its totient is φ = 31331045191680.

The previous prime is 120011200020077. The next prime is 120011200020119. The reversal of 120011200020090 is 90020002110021.

It can be written as a sum of positive squares in 8 ways, for example, as 63524837241009 + 56486362779081 = 7970247^2 + 7515741^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25089079 + ... + 29487018.

Almost surely, 2120011200020090 is an apocalyptic number.

120011200020090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120011200020090 is an abundant number, since it is smaller than the sum of its proper divisors (198594891319446).

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

120011200020090 is a wasteful number, since it uses less digits than its factorization.

120011200020090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54576624 (or 54576621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 120011200020090 in words is "one hundred twenty trillion, eleven billion, two hundred million, twenty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 461 477 530 795 922 954 1383 1590 2305 2385 2766 4149 4610 4770 6915 8298 13830 20745 24433 41490 48866 73299 122165 146598 219897 244330 366495 439794 732990 1099485 2198970 54576097 109152194 163728291 272880485 327456582 491184873 545760970 818641455 982369746 1637282910 2455924365 2892533141 4911848730 5785066282 8677599423 14462665705 17355198846 25159580717 26032798269 28925331410 43387997115 50319161434 52065596538 75478742151 86775994230 125797903585 130163991345 150957484302 226436226453 251595807170 260327982690 377393710755 452872452906 754787421510 1132181132265 1333457778001 2264362264530 2666915556002 4000373334003 6667288890005 8000746668006 12001120002009 13334577780010 20001866670015 24002240004018 40003733340030 60005600010045 120011200020090