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142011120000 = 273545631051
BaseRepresentation
bin1000010001000010000…
…1011011100110000000
3111120112222222100202010
42010100201123212000
54311314321320000
6145123343052520
713155111413631
oct2042041334600
9446488870663
10142011120000
1155254636392
12236332a1140
1310512430929
146c3277d888
153a6257dd50
hex211085b980

142011120000 has 320 divisors, whose sum is σ = 472656951360. Its totient is φ = 37766400000.

The previous prime is 142011119953. The next prime is 142011120011. The reversal of 142011120000 is 21110241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 135119475 + ... + 135120525.

It is an arithmetic number, because the mean of its divisors is an integer number (1477052973).

Almost surely, 2142011120000 is an apocalyptic number.

142011120000 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 142011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236328475680).

142011120000 is an abundant number, since it is smaller than the sum of its proper divisors (330645831360).

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

142011120000 is an equidigital number, since it uses as much as digits as its factorization.

142011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1624 counting only the distinct ones).

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

Adding to 142011120000 its reverse (21110241), we get a palindrome (142032230241).

The spelling of 142011120000 in words is "one hundred forty-two billion, eleven million, one hundred twenty thousand".