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1120021200000 = 2732551718301
BaseRepresentation
bin10000010011000110011…
…101110011110010000000
310222001222012111002220200
4100103012131303302000
5121322300411400000
62214310341205200
7143630112056013
oct20230635636200
93861865432820
101120021200000
113a1aa884a97a
12161098a00800
1381804996591
143c2d050b37a
151e203508500
hex104c6773c80

1120021200000 has 576 divisors, whose sum is σ = 4265665808040. Its totient is φ = 281088000000.

The previous prime is 1120021199989. The next prime is 1120021200007. The reversal of 1120021200000 is 21200211.

It can be written as a sum of positive squares in 12 ways, for example, as 724963696704 + 395057503296 = 851448^2 + 628536^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1120021200007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 61190850 + ... + 61209150.

Almost surely, 21120021200000 is an apocalyptic number.

1120021200000 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 1120021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132832904020).

1120021200000 is an abundant number, since it is smaller than the sum of its proper divisors (3145644608040).

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

1120021200000 is an equidigital number, since it uses as much as digits as its factorization.

1120021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1120021200000 its reverse (21200211), we get a palindrome (1120042400211).

The spelling of 1120021200000 in words is "one trillion, one hundred twenty billion, twenty-one million, two hundred thousand".