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132121012240 = 2457437375161
BaseRepresentation
bin111101100001100000…
…1101010100000010000
3110122000201222211102201
41323003001222200100
54131040434342430
6140410123452544
712355040034340
oct1730301524020
9418021884381
10132121012240
115103995a008
1221733087154
13c5c743b769
146575064d20
15368417b8ca
hex1ec306a810

132121012240 has 160 divisors (see below), whose sum is σ = 364154478336. Its totient is φ = 43638497280.

The previous prime is 132121012193. The next prime is 132121012259. The reversal of 132121012240 is 42210121231.

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, 1720260 + ... + 1795420.

Almost surely, 2132121012240 is an apocalyptic number.

132121012240 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 132121012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182077239168).

132121012240 is an abundant number, since it is smaller than the sum of its proper divisors (232033466096).

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

132121012240 is a wasteful number, since it uses less digits than its factorization.

132121012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75297 (or 75291 counting only the distinct ones).

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

Adding to 132121012240 its reverse (42210121231), we get a palindrome (174331133471).

The spelling of 132121012240 in words is "one hundred thirty-two billion, one hundred twenty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 73 80 86 112 140 146 172 215 280 292 301 344 365 430 511 560 584 602 688 730 860 1022 1168 1204 1460 1505 1720 2044 2408 2555 2920 3010 3139 3440 4088 4816 5110 5840 6020 6278 8176 10220 12040 12556 15695 20440 21973 24080 25112 31390 40880 43946 50224 62780 75161 87892 109865 125560 150322 175784 219730 251120 300644 351568 375805 439460 526127 601288 751610 878920 1052254 1202576 1503220 1757840 2104508 2630635 3006440 3231923 4209016 5261270 5486753 6012880 6463846 8418032 10522540 10973506 12927692 16159615 21045080 21947012 22623461 25855384 27433765 32319230 38407271 42090160 43894024 45246922 51710768 54867530 64638460 76814542 87788048 90493844 109735060 113117305 129276920 153629084 180987688 192036355 219470120 226234610 235930379 258553840 307258168 361975376 384072710 438940240 452469220 471860758 614516336 768145420 904938440 943721516 1179651895 1536290840 1651512653 1809876880 1887443032 2359303790 3072581680 3303025306 3774886064 4718607580 6606050612 8257563265 9437215160 13212101224 16515126530 18874430320 26424202448 33030253060 66060506120 132121012240