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121412332032 = 293617128111
BaseRepresentation
bin111000100010010111…
…1010010101000000000
3102121101102201111211020
41301010233102220000
53442123024111112
6131435343345440
711525465536335
oct1610457225000
9377342644736
10121412332032
1147544107082
121b6448b2280
13b5ab992cb4
145c3ab4898c
153258e8448c
hex1c44bd2a00

121412332032 has 80 divisors (see below), whose sum is σ = 323976799872. Its totient is φ = 40404869120.

The previous prime is 121412332021. The next prime is 121412332033. The reversal of 121412332032 is 230233214121.

It is a super-2 number, since 2×1214123320322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121412331993 and 121412332011.

It is not an unprimeable number, because it can be changed into a prime (121412332033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883657 + ... + 1011767.

Almost surely, 2121412332032 is an apocalyptic number.

121412332032 is a gapful number since it is divisible by the number (12) 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 121412332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161988399936).

121412332032 is an abundant number, since it is smaller than the sum of its proper divisors (202564467840).

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

121412332032 is an equidigital number, since it uses as much as digits as its factorization.

121412332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128749 (or 128733 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121412332032 its reverse (230233214121), we get a palindrome (351645546153).

The spelling of 121412332032 in words is "one hundred twenty-one billion, four hundred twelve million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 617 768 1234 1536 1851 2468 3702 4936 7404 9872 14808 19744 29616 39488 59232 78976 118464 128111 157952 236928 256222 315904 384333 473856 512444 768666 947712 1024888 1537332 2049776 3074664 4099552 6149328 8199104 12298656 16398208 24597312 32796416 49194624 65592832 79044487 98389248 158088974 196778496 237133461 316177948 474266922 632355896 948533844 1264711792 1897067688 2529423584 3794135376 5058847168 7588270752 10117694336 15176541504 20235388672 30353083008 40470777344 60706166016 121412332032