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1120120111200 = 2535223131191811
BaseRepresentation
bin10000010011001100010…
…111001000000001100000
310222002020002121022120110
4100103030113020001200
5121323001222024300
62214324233211320
7143632422564606
oct20231427100140
93862202538513
101120120111200
113a2049668372
12161105b60b40
138181c31860c
143c2dd6d7876
151e20c045550
hex104cc5c8060

1120120111200 has 576 divisors, whose sum is σ = 3858377048064. Its totient is φ = 281698560000.

The previous prime is 1120120111199. The next prime is 1120120111207. The reversal of 1120120111200 is 21110210211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120120111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1381158795 + ... + 1381159605.

It is an arithmetic number, because the mean of its divisors is an integer number (6698571264).

Almost surely, 21120120111200 is an apocalyptic number.

1120120111200 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 1120120111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929188524032).

1120120111200 is an abundant number, since it is smaller than the sum of its proper divisors (2738256936864).

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

1120120111200 is a wasteful number, since it uses less digits than its factorization.

1120120111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1120120111200 its reverse (21110210211), we get a palindrome (1141230321411).

The spelling of 1120120111200 in words is "one trillion, one hundred twenty billion, one hundred twenty million, one hundred eleven thousand, two hundred".