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1012243232000 = 28537111331601
BaseRepresentation
bin11101011101011100110…
…01011111010100000000
310120202202222020001102002
432232232121133110000
5113041033231411000
62053003525243132
7133063221335660
oct16565631372400
93522688201362
101012243232000
11360320a08350
1214421a2634a8
13745b9943310
1436dc849c1a0
151b4e65308d5
hexebae65f500

1012243232000 has 576 divisors, whose sum is σ = 3385784683008. Its totient is φ = 291225600000.

The previous prime is 1012243231933. The next prime is 1012243232009. The reversal of 1012243232000 is 2323422101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012243232009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32016200 + ... + 32047800.

It is an arithmetic number, because the mean of its divisors is an integer number (5878098408).

Almost surely, 21012243232000 is an apocalyptic number.

1012243232000 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 1012243232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692892341504).

1012243232000 is an abundant number, since it is smaller than the sum of its proper divisors (2373541451008).

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

1012243232000 is a wasteful number, since it uses less digits than its factorization.

1012243232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31663 (or 31639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1012243232000 its reverse (2323422101), we get a palindrome (1014566654101).

The spelling of 1012243232000 in words is "one trillion, twelve billion, two hundred forty-three million, two hundred thirty-two thousand".