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1120221120000 = 293541783827
BaseRepresentation
bin10000010011010010011…
…000011100011000000000
310222002111010200002121010
4100103102120130120000
5121323203101320000
62214342242200520
7143635060261113
oct20232230343000
93862433602533
101120221120000
113a20a0688814
12161133953140
1381837223338
143c30ccac57a
151e215d48d50
hex104d261c600

1120221120000 has 800 divisors, whose sum is σ = 4001002169472. Its totient is φ = 277430272000.

The previous prime is 1120221119999. The next prime is 1120221120037. The reversal of 1120221120000 is 211220211.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354559587 + ... + 1354560413.

Almost surely, 21120221120000 is an apocalyptic number.

1120221120000 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 1120221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000501084736).

1120221120000 is an abundant number, since it is smaller than the sum of its proper divisors (2880781049472).

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

1120221120000 is an frugal number, since it uses more digits than its factorization.

1120221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 937 counting only the distinct ones).

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

Adding to 1120221120000 its reverse (211220211), we get a palindrome (1120432340211).

It can be divided in two parts, 11202211 and 20000, that added together give a palindrome (11222211).

The spelling of 1120221120000 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand".