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32001201120 = 2535783114749
BaseRepresentation
bin11101110011011010…
…111001001111100000
310001121012220110020010
4131303122321033200
51011014301413440
622411240444520
72212006502310
oct356332711740
9101535813203
1032001201120
1112631931059
126251179740
13302cb70085
141798137440
15c74677580
hex7736b93e0

32001201120 has 192 divisors, whose sum is σ = 116593344000. Its totient is φ = 7226370048.

The previous prime is 32001201107. The next prime is 32001201131. The reversal of 32001201120 is 2110210023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32001201096 and 32001201105.

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, 221506 + ... + 336254.

It is an arithmetic number, because the mean of its divisors is an integer number (607257000).

Almost surely, 232001201120 is an apocalyptic number.

32001201120 is a gapful number since it is divisible by the number (30) 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 32001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296672000).

32001201120 is an abundant number, since it is smaller than the sum of its proper divisors (84592142880).

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

32001201120 is a wasteful number, since it uses less digits than its factorization.

32001201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114857 (or 114849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32001201120 its reverse (2110210023), we get a palindrome (34111411143).

The spelling of 32001201120 in words is "thirty-two billion, one million, two hundred one thousand, one hundred twenty".