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120801000 = 2335367601
BaseRepresentation
bin1110011001101…
…00011011101000
322102022022211010
413030310123220
5221411113000
615553103520
72664535335
oct714643350
9272268733
10120801000
1162209641
1234557ba0
131c0476a8
141208798c
15a912d50
hex73346e8

120801000 has 128 divisors (see below), whose sum is σ = 383160960. Its totient is φ = 31680000.

The previous prime is 120800909. The next prime is 120801011. The reversal of 120801000 is 108021.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200700 + ... + 201300.

It is an arithmetic number, because the mean of its divisors is an integer number (2993445).

Almost surely, 2120801000 is an apocalyptic number.

120801000 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 120801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191580480).

120801000 is an abundant number, since it is smaller than the sum of its proper divisors (262359960).

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

120801000 is a wasteful number, since it uses less digits than its factorization.

120801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

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

The square root of 120801000 is about 10990.9508232909. The cubic root of 120801000 is about 494.3374463961.

Adding to 120801000 its reverse (108021), we get a palindrome (120909021).

The spelling of 120801000 in words is "one hundred twenty million, eight hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 601 670 750 804 1000 1005 1202 1340 1500 1608 1675 1803 2010 2404 2680 3000 3005 3350 3606 4020 4808 5025 6010 6700 7212 8040 8375 9015 10050 12020 13400 14424 15025 16750 18030 20100 24040 25125 30050 33500 36060 40200 40267 45075 50250 60100 67000 72120 75125 80534 90150 100500 120200 120801 150250 161068 180300 201000 201335 225375 241602 300500 322136 360600 402670 450750 483204 601000 604005 805340 901500 966408 1006675 1208010 1610680 1803000 2013350 2416020 3020025 4026700 4832040 5033375 6040050 8053400 10066750 12080100 15100125 20133500 24160200 30200250 40267000 60400500 120801000