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120221121122010 = 23351834124276943
BaseRepresentation
bin11011010101011100101001…
…001110000000111011011010
3120202200000201122011212222000
4123111130221032000323122
5111224200324001401020
61103404453125541430
734215455311542306
oct3325345116007332
9522600648155860
10120221121122010
1135340544795a47
12115977aa274876
135210a5948b47c
142198a3a2b2d06
15dd7361ea0090
hex6d5729380eda

120221121122010 has 64 divisors (see below), whose sum is σ = 320607148930560. Its totient is φ = 32057216372160.

The previous prime is 120221121122009. The next prime is 120221121122027. The reversal of 120221121122010 is 10221121122021.

120221121122010 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 1 + 211 + 220 + 10 = 666.

It is a super-2 number, since 2×1202211211220102 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7186402 + ... + 17090541.

It is an arithmetic number, because the mean of its divisors is an integer number (5009486702040).

Almost surely, 2120221121122010 is an apocalyptic number.

120221121122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120221121122010 is an abundant number, since it is smaller than the sum of its proper divisors (200386027808550).

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

120221121122010 is a wasteful number, since it uses less digits than its factorization.

120221121122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24295300 (or 24295294 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120221121122010 its reverse (10221121122021), we get a palindrome (130442242244031).

The spelling of 120221121122010 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 18341 36682 55023 91705 110046 165069 183410 275115 330138 495207 550230 825345 990414 1650690 2476035 4952070 24276943 48553886 72830829 121384715 145661658 218492487 242769430 364154145 436984974 655477461 728308290 1092462435 1310954922 2184924870 3277387305 6554774610 445263411563 890526823126 1335790234689 2226317057815 2671580469378 4007370704067 4452634115630 6678951173445 8014741408134 12022112112201 13357902346890 20036853520335 24044224224402 40073707040670 60110560561005 120221121122010