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1212532140 = 2235173121237
BaseRepresentation
bin100100001000101…
…1100010110101100
310010111121000101210
41020101130112230
54440402012030
6320152434420
742022232061
oct11021342654
93114530353
101212532140
11572496386
1229a0a8a10
13164291751
14b7072c68
15716b3bb0
hex4845c5ac

1212532140 has 144 divisors (see below), whose sum is σ = 3717506016. Its totient is φ = 294266880.

The previous prime is 1212532127. The next prime is 1212532183. The reversal of 1212532140 is 412352121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979602 + ... + 980838.

It is an arithmetic number, because the mean of its divisors is an integer number (25816014).

Almost surely, 21212532140 is an apocalyptic number.

1212532140 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 1212532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858753008).

1212532140 is an abundant number, since it is smaller than the sum of its proper divisors (2504973876).

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

1212532140 is a wasteful number, since it uses less digits than its factorization.

1212532140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1212532140 is about 34821.4321934064. The cubic root of 1212532140 is about 1066.3450395327.

Adding to 1212532140 its reverse (412352121), we get a palindrome (1624884261).

The spelling of 1212532140 in words is "one billion, two hundred twelve million, five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 961 1020 1054 1237 1581 1860 1922 2108 2474 2635 2883 3162 3711 3844 4805 4948 5270 5766 6185 6324 7422 7905 9610 10540 11532 12370 14415 14844 15810 16337 18555 19220 21029 24740 28830 31620 32674 37110 38347 42058 49011 57660 63087 65348 74220 76694 81685 84116 98022 105145 115041 126174 153388 163370 191735 196044 210290 230082 245055 252348 315435 326740 383470 420580 460164 490110 575205 630870 651899 766940 980220 1150410 1188757 1261740 1303798 1955697 2300820 2377514 2607596 3259495 3566271 3911394 4755028 5943785 6518990 7132542 7822788 9778485 11887570 13037980 14265084 17831355 19556970 20208869 23775140 35662710 39113940 40417738 60626607 71325420 80835476 101044345 121253214 202088690 242506428 303133035 404177380 606266070 1212532140