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1210244420121 = 3112611011274261
BaseRepresentation
bin10001100111001000001…
…100000101001000011001
311021200212000101120110220
4101213020030011020121
5124312040032420441
62323551214030253
7153302661560052
oct21471014051031
94250760346426
101210244420121
11427297473600
121766784a8389
138a182b12b69
144280cd13729
1521734279466
hex119c8305219

1210244420121 has 96 divisors (see below), whose sum is σ = 1835383861248. Its totient is φ = 708523200000.

The previous prime is 1210244420089. The next prime is 1210244420123.

It is a happy number.

1210244420121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1210244420121 - 25 = 1210244420089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1210244420091 and 1210244420100.

It is not an unprimeable number, because it can be changed into a prime (1210244420123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284026131 + ... + 284030391.

It is an arithmetic number, because the mean of its divisors is an integer number (19118581888).

Almost surely, 21210244420121 is an apocalyptic number.

1210244420121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1210244420121 is a deficient number, since it is larger than the sum of its proper divisors (625139441127).

1210244420121 is a wasteful number, since it uses less digits than its factorization.

1210244420121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 1210244420121 in words is "one trillion, two hundred ten billion, two hundred forty-four million, four hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 61 101 121 127 183 303 363 381 671 1111 1397 2013 3333 4191 4261 6161 7381 7747 12221 12783 12827 15367 18483 22143 23241 36663 38481 46101 46871 67771 85217 140613 141097 203313 255651 259921 423291 430361 515581 541147 745481 779763 782447 937387 1291083 1546743 1552067 1623441 2236443 2347341 2812161 2859131 4656201 4733971 5952617 8577393 8606917 14201913 17857851 25820751 26252021 31450441 33009967 52073681 54655847 65478787 78756063 94351323 94676087 99029901 156221043 163967541 196436361 284028261 288772231 363109637 601214317 866316693 1089328911 1803642951 3176494541 3334006667 3994206007 6613357487 9529483623 10002020001 11982618021 19840072461 36674073337 110022220011 403414806707 1210244420121