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12142110000 = 243543371201
BaseRepresentation
bin10110100111011100…
…11110010100110000
31011100012112002121210
423103232132110300
5144331340010000
65324503320120
7606615142416
oct132356362460
934305462553
1012142110000
1151709a4a59
12242a450040
1311b6730397
148328512b6
154b0e92350
hex2d3b9e530

12142110000 has 200 divisors, whose sum is σ = 39345392944. Its totient is φ = 3225600000.

The previous prime is 12142109957. The next prime is 12142110017. The reversal of 12142110000 is 1124121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10109400 + ... + 10110600.

Almost surely, 212142110000 is an apocalyptic number.

12142110000 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 12142110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672696472).

12142110000 is an abundant number, since it is smaller than the sum of its proper divisors (27203282944).

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

12142110000 is a wasteful number, since it uses less digits than its factorization.

12142110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12142110000 its reverse (1124121), we get a palindrome (12143234121).

The spelling of 12142110000 in words is "twelve billion, one hundred forty-two million, one hundred ten thousand".