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132120404120 = 23519315607827
BaseRepresentation
bin111101100001011111…
…1010110000010011000
3110122000200211221020202
41323002333112002120
54131040310412440
6140410102441332
712355031622365
oct1730277260230
9418020757222
10132120404120
1151039584131
1221732a33248
13c5c7287a23
146574d4746c
1536840ab615
hex1ec2fd6098

132120404120 has 64 divisors (see below), whose sum is σ = 323010892800. Its totient is φ = 48451616640.

The previous prime is 132120404099. The next prime is 132120404179. The reversal of 132120404120 is 21404021231.

It is a super-2 number, since 2×1321204041202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132120404092 and 132120404101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2780354 + ... + 2827473.

It is an arithmetic number, because the mean of its divisors is an integer number (5047045200).

Almost surely, 2132120404120 is an apocalyptic number.

132120404120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120404120 is an abundant number, since it is smaller than the sum of its proper divisors (190890488680).

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

132120404120 is a wasteful number, since it uses less digits than its factorization.

132120404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607888 (or 5607884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132120404120 its reverse (21404021231), we get a palindrome (153524425351).

The spelling of 132120404120 in words is "one hundred thirty-two billion, one hundred twenty million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 5607827 11215654 22431308 28039135 44862616 56078270 106548713 112156540 173842637 213097426 224313080 347685274 426194852 532743565 695370548 852389704 869213185 1065487130 1390741096 1738426370 2130974260 3303010103 3476852740 4261948520 6606020206 6953705480 13212040412 16515050515 26424080824 33030101030 66060202060 132120404120