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1121020110000 = 243254712714011
BaseRepresentation
bin10000010100000010000…
…000010110010010110000
310222011112211002222211100
4100110002000112102300
5121331322122010000
62214553423244400
7143663631500040
oct20240200262260
93864484088740
101121020110000
113a247069982a
12161317449700
138193391159b
143c387053720
151e261071a00
hex105020164b0

1121020110000 has 600 divisors, whose sum is σ = 4516023209984. Its totient is φ = 254197440000.

The previous prime is 1121020109983. The next prime is 1121020110059. The reversal of 1121020110000 is 110201211.

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 a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80002995 + ... + 80017005.

Almost surely, 21121020110000 is an apocalyptic number.

1121020110000 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 1121020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258011604992).

1121020110000 is an abundant number, since it is smaller than the sum of its proper divisors (3395003099984).

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

1121020110000 is a wasteful number, since it uses less digits than its factorization.

1121020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14179 (or 14155 counting only the distinct ones).

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

Adding to 1121020110000 its reverse (110201211), we get a palindrome (1121130311211).

The spelling of 1121020110000 in words is "one trillion, one hundred twenty-one billion, twenty million, one hundred ten thousand".