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32120001012 = 223118310129027
BaseRepresentation
bin11101111010100000…
…000101000111110100
310001220111110010001010
4131322200011013310
51011240210013022
622431123032220
72214651334551
oct357240050764
9101814403033
1032120001012
11126929a3190
126284b0b670
13304b666978
1417a9c1da28
15c7ece250c
hex77a8051f4

32120001012 has 96 divisors (see below), whose sum is σ = 83567199744. Its totient is φ = 9520528000.

The previous prime is 32120000999. The next prime is 32120001013. The reversal of 32120001012 is 21010002123.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120001013) by changing a digit.

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, 1092043 + ... + 1121069.

It is an arithmetic number, because the mean of its divisors is an integer number (870491664).

Almost surely, 232120001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32120001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783599872).

32120001012 is an abundant number, since it is smaller than the sum of its proper divisors (51447198732).

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

32120001012 is a wasteful number, since it uses less digits than its factorization.

32120001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29229 (or 29227 counting only the distinct ones).

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

Adding to 32120001012 its reverse (21010002123), we get a palindrome (53130003135).

The spelling of 32120001012 in words is "thirty-two billion, one hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 101 132 166 202 249 303 332 404 498 606 913 996 1111 1212 1826 2222 2739 3333 3652 4444 5478 6666 8383 10956 13332 16766 25149 29027 33532 50298 58054 87081 92213 100596 116108 174162 184426 276639 319297 348324 368852 553278 638594 957891 1106556 1277188 1915782 2409241 2931727 3831564 4818482 5863454 7227723 8795181 9636964 11726908 14455446 17590362 26501651 28910892 32248997 35180724 53003302 64497994 79504953 96746991 106006604 128995988 159009906 193493982 243333341 318019812 386987964 486666682 730000023 973333364 1460000046 2676666751 2920000092 5353333502 8030000253 10706667004 16060000506 32120001012