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1211200431220 = 22513137313108637
BaseRepresentation
bin10001101000000001001…
…010111110010001110100
311021210022122021222011101
4101220001022332101310
5124321014302244340
62324230124415444
7153335450540323
oct21500112762164
94253278258141
101211200431220
1142773808191a
121768a46a7584
138a2a5bba9c0
144289dc900ba
152178d16bc9a
hex11a012be474

1211200431220 has 96 divisors (see below), whose sum is σ = 2768011067808. Its totient is φ = 442525704192.

The previous prime is 1211200431211. The next prime is 1211200431269. The reversal of 1211200431220 is 221340021121.

It can be written as a sum of positive squares in 16 ways, for example, as 905165765604 + 306034665616 = 951402^2 + 553204^2 .

It is a congruent number.

It is an unprimeable number.

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, 11094742 + ... + 11203378.

It is an arithmetic number, because the mean of its divisors is an integer number (28833448623).

Almost surely, 21211200431220 is an apocalyptic number.

1211200431220 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 1211200431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384005533904).

1211200431220 is an abundant number, since it is smaller than the sum of its proper divisors (1556810636588).

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

1211200431220 is a wasteful number, since it uses less digits than its factorization.

1211200431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109109 (or 109107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1211200431220 its reverse (221340021121), we get a palindrome (1432540452341).

The spelling of 1211200431220 in words is "one trillion, two hundred eleven billion, two hundred million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 313 548 626 685 1252 1370 1565 1781 2740 3130 3562 4069 6260 7124 8138 8905 16276 17810 20345 35620 40690 42881 81380 85762 108637 171524 214405 217274 428810 434548 543185 557453 857620 1086370 1114906 1412281 2172740 2229812 2787265 2824562 5574530 5649124 7061405 11149060 14122810 14883269 28245620 29766538 34003381 59533076 68006762 74416345 136013524 148832690 170016905 193482497 297665380 340033810 386964994 442043953 680067620 773929988 884087906 967412485 1768175812 1934824970 2210219765 3869649940 4420439530 4658463197 8840879060 9316926394 18633852788 23292315985 46584631970 60560021561 93169263940 121120043122 242240086244 302800107805 605600215610 1211200431220