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121002210121220 = 22529439075349209
BaseRepresentation
bin11011100000110100000101…
…110000000101011000000100
3120212102200212001221020202222
4123200310011300011120010
5111330000011242334340
61105203351541551512
734326056365515251
oct3340640560053004
9525380761836688
10121002210121220
113561182710196a
12116a3057415598
1352695c855b93c
1421c4776c2a428
15dec829e378b5
hex6e0d05c05604

121002210121220 has 96 divisors (see below), whose sum is σ = 269276663779200. Its totient is φ = 45594766070784.

The previous prime is 121002210121139. The next prime is 121002210121229. The reversal of 121002210121220 is 22121012200121.

It is not an unprimeable number, because it can be changed into a prime (121002210121229) 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 31 ways as a sum of consecutive naturals, for example, 19945976 + ... + 25295184.

It is an arithmetic number, because the mean of its divisors is an integer number (2804965247700).

Almost surely, 2121002210121220 is an apocalyptic number.

121002210121220 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 121002210121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134638331889600).

121002210121220 is an abundant number, since it is smaller than the sum of its proper divisors (148274453657980).

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

121002210121220 is a wasteful number, since it uses less digits than its factorization.

121002210121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350197 (or 5350195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121002210121220 its reverse (22121012200121), we get a palindrome (143123222321341).

The spelling of 121002210121220 in words is "one hundred twenty-one trillion, two billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 907 1247 1814 2494 3628 4535 4988 6235 9070 12470 18140 24940 26303 39001 52606 78002 105212 131515 156004 195005 263030 390010 526060 780020 1131029 2262058 4524116 5349209 5655145 10698418 11310290 21396836 22620580 26746045 53492090 106984180 155127061 230015987 310254122 460031974 620508244 775635305 920063948 1150079935 1551270610 2300159870 3102541220 4600319740 4851732563 6670463623 9703465126 13340927246 19406930252 24258662815 26681854492 33352318115 48517325630 66704636230 97034651260 133409272460 140700244327 208624500209 281400488654 417249000418 562800977308 703501221635 834498000836 1043122501045 1407002443270 2086245002090 2814004886540 4172490004180 6050110506061 12100221012122 24200442024244 30250552530305 60501105060610 121002210121220