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1125410120000 = 2654238911777
BaseRepresentation
bin10000011000000111101…
…010111010000101000000
310222120212202200121102022
4100120013222322011000
5121414314442320000
62221001204341012
7144210466120025
oct20300752720500
93876782617368
101125410120000
113a4313745271
121621416a4768
138218328743a
143c6820cb54c
151e41b685585
hex10607aba140

1125410120000 has 140 divisors (see below), whose sum is σ = 2792056521540. Its totient is φ = 449937408000.

The previous prime is 1125410119991. The next prime is 1125410120017. The reversal of 1125410120000 is 210145211.

It can be written as a sum of positive squares in 10 ways, for example, as 903244953664 + 222165166336 = 950392^2 + 471344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95554112 + ... + 95565888.

Almost surely, 21125410120000 is an apocalyptic number.

1125410120000 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 1125410120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396028260770).

1125410120000 is an abundant number, since it is smaller than the sum of its proper divisors (1666646401540).

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

1125410120000 is an equidigital number, since it uses as much as digits as its factorization.

1125410120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 1125410120000 its reverse (210145211), we get a palindrome (1125620265211).

The spelling of 1125410120000 in words is "one trillion, one hundred twenty-five billion, four hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2389 2500 4000 4778 5000 8000 9556 10000 11777 11945 19112 20000 23554 23890 38224 40000 47108 47780 58885 59725 76448 94216 95560 117770 119450 152896 188432 191120 235540 238900 294425 298625 376864 382240 471080 477800 588850 597250 753728 764480 942160 955600 1177700 1194500 1472125 1493125 1884320 1911200 2355400 2389000 2944250 2986250 3768640 3822400 4710800 4778000 5888500 5972500 7360625 9421600 9556000 11777000 11945000 14721250 18843200 19112000 23554000 23890000 28135253 29442500 47108000 47780000 56270506 58885000 94216000 95560000 112541012 117770000 140676265 225082024 235540000 281352530 450164048 471080000 562705060 703381325 900328096 1125410120 1406762650 1800656192 2250820240 2813525300 3516906625 4501640480 5627050600 7033813250 9003280960 11254101200 14067626500 17584533125 22508202400 28135253000 35169066250 45016404800 56270506000 70338132500 112541012000 140676265000 225082024000 281352530000 562705060000 1125410120000