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1342112512000 = 21153133113009
BaseRepresentation
bin10011100001111100001…
…000111011100000000000
311202022020010110201101211
4103201330020323200000
5133442121300341000
62504320304535504
7165651541060321
oct23417410734000
94668203421354
101342112512000
11478206584817
1219813a921594
1399739a288b0
1448d5c53c448
1524da10e67ba
hex1387c23b800

1342112512000 has 384 divisors, whose sum is σ = 3723349593600. Its totient is φ = 479526912000.

The previous prime is 1342112511983. The next prime is 1342112512009. The reversal of 1342112512000 is 2152112431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342112512009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103161496 + ... + 103174504.

It is an arithmetic number, because the mean of its divisors is an integer number (9696222900).

Almost surely, 21342112512000 is an apocalyptic number.

1342112512000 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 1342112512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861674796800).

1342112512000 is an abundant number, since it is smaller than the sum of its proper divisors (2381237081600).

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

1342112512000 is a wasteful number, since it uses less digits than its factorization.

1342112512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1342112512000 its reverse (2152112431), we get a palindrome (1344264624431).

The spelling of 1342112512000 in words is "one trillion, three hundred forty-two billion, one hundred twelve million, five hundred twelve thousand".