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121020000 = 253542017
BaseRepresentation
bin1110011011010…
…01111001100000
322102201110020020
413031221321200
5221440120000
620001513440
72666436663
oct715517140
9272643206
10121020000
1162349132
1234642880
131c0c328a
14121036da
15a957ba0
hex7369e60

121020000 has 120 divisors (see below), whose sum is σ = 397166616. Its totient is φ = 32256000.

The previous prime is 121019999. The next prime is 121020019. The reversal of 121020000 is 20121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

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, 58992 + ... + 61008.

Almost surely, 2121020000 is an apocalyptic number.

121020000 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 121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198583308).

121020000 is an abundant number, since it is smaller than the sum of its proper divisors (276146616).

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

121020000 is an equidigital number, since it uses as much as digits as its factorization.

121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 121020000 is about 11000.9090533465. The cubic root of 121020000 is about 494.6359939941.

Adding to 121020000 its reverse (20121), we get a palindrome (121040121).

The spelling of 121020000 in words is "one hundred twenty-one million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2017 2400 2500 3000 3750 4000 4034 5000 6000 6051 7500 8068 10000 10085 12000 12102 15000 16136 20000 20170 24204 30000 30255 32272 40340 48408 50425 60000 60510 64544 80680 96816 100850 121020 151275 161360 193632 201700 242040 252125 302550 322720 403400 484080 504250 605100 756375 806800 968160 1008500 1210200 1260625 1512750 1613600 2017000 2420400 2521250 3025500 3781875 4034000 4840800 5042500 6051000 7563750 8068000 10085000 12102000 15127500 20170000 24204000 30255000 40340000 60510000 121020000