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3212012150400 = 2735217372112521
BaseRepresentation
bin101110101111011010110…
…101111101111010000000
3102101001202122112102111210
4232233122311331322000
5410111200102303100
610455324503410120
7451026440541534
oct56573265757200
912331678472453
103212012150400
1110292301382a9
1243a614453940
131a3b78679181
14b1668479bc4
1558842538c50
hex2ebdad7de80

3212012150400 has 768 divisors, whose sum is σ = 11563755765120. Its totient is φ = 780337152000.

The previous prime is 3212012150359. The next prime is 3212012150461. The reversal of 3212012150400 is 40512102123.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274101140 + ... + 1274103660.

Almost surely, 23212012150400 is an apocalyptic number.

3212012150400 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 3212012150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781877882560).

3212012150400 is an abundant number, since it is smaller than the sum of its proper divisors (8351743614720).

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

3212012150400 is a wasteful number, since it uses less digits than its factorization.

3212012150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 3212012150400 its reverse (40512102123), we get a palindrome (3252524252523).

The spelling of 3212012150400 in words is "three trillion, two hundred twelve billion, twelve million, one hundred fifty thousand, four hundred".