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121221120020 = 225711136055001
BaseRepresentation
bin111000011100101010…
…1111000000000010100
3102120220002220221020212
41300321111320000110
53441230101320040
6131404353144552
711520654343040
oct1607125700024
9376802827225
10121221120020
1147456186720
121b5b085b158
13b57b1949b0
145c1d5b3020
1532472b3d65
hex1c39578014

121221120020 has 96 divisors (see below), whose sum is σ = 341792752896. Its totient is φ = 34876800000.

The previous prime is 121221120011. The next prime is 121221120029. The reversal of 121221120020 is 20021122121.

It is an interprime number because it is at equal distance from previous prime (121221120011) and next prime (121221120029).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121221119977 and 121221120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221120029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3007481 + ... + 3047520.

It is an arithmetic number, because the mean of its divisors is an integer number (3560341176).

Almost surely, 2121221120020 is an apocalyptic number.

121221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221120020 is an abundant number, since it is smaller than the sum of its proper divisors (220571632876).

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

121221120020 is a wasteful number, since it uses less digits than its factorization.

121221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055041 (or 6055039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121221120020 its reverse (20021122121), we get a palindrome (141242242141).

The spelling of 121221120020 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 6055001 12110002 24220004 30275005 42385007 60550010 66605011 78715013 84770014 121100020 133210022 157430026 169540028 211925035 266420044 314860052 333025055 393575065 423850070 466235077 551005091 666050110 787150130 847700140 865865143 932470154 1102010182 1332100220 1574300260 1731730286 1864940308 2204020364 2331175385 2755025455 3463460572 4329325715 4662350770 5510050910 6061056001 8658651430 9324701540 11020101820 12122112002 17317302860 24244224004 30305280005 60610560010 121221120020