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132121032000 = 2635310751449
BaseRepresentation
bin111101100001100000…
…1101111010101000000
3110122000202000211112120
41323003001233111000
54131040441011000
6140410124124240
712355040146056
oct1730301572500
9418022024476
10132121032000
1151039972941
1221733096680
13c5c7447759
14657506c1d6
1536841826a0
hex1ec306f540

132121032000 has 224 divisors, whose sum is σ = 440349436800. Its totient is φ = 34902323200.

The previous prime is 132121031983. The next prime is 132121032037. The reversal of 132121032000 is 230121231.

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 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, 2542276 + ... + 2593724.

It is an arithmetic number, because the mean of its divisors is an integer number (1965845700).

Almost surely, 2132121032000 is an apocalyptic number.

132121032000 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 132121032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220174718400).

132121032000 is an abundant number, since it is smaller than the sum of its proper divisors (308228404800).

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

132121032000 is a wasteful number, since it uses less digits than its factorization.

132121032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51586 (or 51566 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132121032000 its reverse (230121231), we get a palindrome (132351153231).

The spelling of 132121032000 in words is "one hundred thirty-two billion, one hundred twenty-one million, thirty-two thousand".