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1121000120000 = 265440037001
BaseRepresentation
bin10000010100000000110…
…100000101111011000000
310222011111102111101200222
4100110000310011323000
5121331302012320000
62214551431002212
7143663266542125
oct20240064057300
93864442441628
101121000120000
113a2460385a72
12161310809368
138192c732897
143c38452c74c
151e25e423a85
hex10500d05ec0

1121000120000 has 140 divisors (see below), whose sum is σ = 2780807525496. Its totient is φ = 448224000000.

The previous prime is 1121000119999. The next prime is 1121000120003. The reversal of 1121000120000 is 210001211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1121000120000.

It is not an unprimeable number, because it can be changed into a prime (1121000120003) 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 19 ways as a sum of consecutive naturals, for example, 160116500 + ... + 160123500.

Almost surely, 21121000120000 is an apocalyptic number.

1121000120000 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 1121000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390403762748).

1121000120000 is an abundant number, since it is smaller than the sum of its proper divisors (1659807405496).

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

1121000120000 is an frugal number, since it uses more digits than its factorization.

1121000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1121000120000 its reverse (210001211), we get a palindrome (1121210121211).

The spelling of 1121000120000 in words is "one trillion, one hundred twenty-one billion, 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 2500 4000 4003 5000 7001 8000 8006 10000 14002 16012 20000 20015 28004 32024 35005 40000 40030 56008 64048 70010 80060 100075 112016 128096 140020 160120 175025 200150 224032 256192 280040 320240 350050 400300 448064 500375 560080 640480 700100 800600 875125 1000750 1120160 1280960 1400200 1601200 1750250 2001500 2240320 2501875 2800400 3202400 3500500 4003000 4375625 5003750 5600800 6404800 7001000 8006000 8751250 10007500 11201600 14002000 16012000 17502500 20015000 28004000 28025003 32024000 35005000 40030000 56008000 56050006 70010000 80060000 112100012 140020000 140125015 160120000 224200024 280040000 280250030 448400048 560500060 700625075 896800096 1121000120 1401250150 1793600192 2242000240 2802500300 3503125375 4484000480 5605000600 7006250750 8968000960 11210001200 14012501500 17515626875 22420002400 28025003000 35031253750 44840004800 56050006000 70062507500 112100012000 140125015000 224200024000 280250030000 560500060000 1121000120000