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132121122000 = 2435373145741
BaseRepresentation
bin111101100001100001…
…0000101010011010000
3110122000202012101222220
41323003002011103100
54131041001401000
6140410130101040
712355041002340
oct1730302052320
9418022171886
10132121122000
1151039a2451a
122173311a780
13c5c74796ca
146575092d20
15368419e1a0
hex1ec30854d0

132121122000 has 160 divisors (see below), whose sum is σ = 486809865984. Its totient is φ = 30199104000.

The previous prime is 132121121989. The next prime is 132121122017. The reversal of 132121122000 is 221121231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530871 + ... + 1614870.

Almost surely, 2132121122000 is an apocalyptic number.

132121122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121122000 is an abundant number, since it is smaller than the sum of its proper divisors (354688743984).

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

132121122000 is a wasteful number, since it uses less digits than its factorization.

132121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145774 (or 3145758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132121122000 its reverse (221121231), we get a palindrome (132342243231).

The spelling of 132121122000 in words is "one hundred thirty-two billion, one hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 3145741 6291482 9437223 12582964 15728705 18874446 22020187 25165928 31457410 37748892 44040374 47186115 50331856 62914820 66060561 75497784 78643525 88080748 94372230 110100935 125829640 132121122 150995568 157287050 176161496 188744460 220201870 235930575 251659280 264242244 314574100 330302805 352322992 377488920 393217625 440403740 471861150 528484488 550504675 629148200 660605610 754977840 786435250 880807480 943722300 1056968976 1101009350 1179652875 1258296400 1321211220 1572870500 1651514025 1761614960 1887444600 2202018700 2359305750 2642422440 2752523375 3145741000 3303028050 3774889200 4404037400 4718611500 5284844880 5505046750 6291482000 6606056100 8257570125 8808074800 9437223000 11010093500 13212112200 16515140250 18874446000 22020187000 26424224400 33030280500 44040374000 66060561000 132121122000