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1120210110000 = 243254311512659
BaseRepresentation
bin10000010011010001101…
…110011100011000110000
310222002110100221201201100
4100103101232130120300
5121323142242010000
62214341210204400
7143634564554022
oct20232156343060
93862410851640
101120210110000
113a2095448843
12161130123700
1381834b69b47
143c30b644012
151e214dc1a00
hex104d1b9c630

1120210110000 has 600 divisors, whose sum is σ = 4072220472320. Its totient is φ = 287064000000.

The previous prime is 1120210109989. The next prime is 1120210110023. The reversal of 1120210110000 is 110120211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 421288671 + ... + 421291329.

Almost surely, 21120210110000 is an apocalyptic number.

1120210110000 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 1120210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036110236160).

1120210110000 is an abundant number, since it is smaller than the sum of its proper divisors (2952010362320).

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

1120210110000 is a wasteful number, since it uses less digits than its factorization.

1120210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120210110000 its reverse (110120211), we get a palindrome (1120320230211).

The spelling of 1120210110000 in words is "one trillion, one hundred twenty billion, two hundred ten million, one hundred ten thousand".