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121120200 = 23325267289
BaseRepresentation
bin1110011100000…
…10010111001000
322102220112200100
413032002113020
5222001321300
620004005400
73000335055
oct716022710
9272815610
10121120200
1162407443
1234690860
131c129a76
141212c02c
15a977700
hex73825c8

121120200 has 72 divisors (see below), whose sum is σ = 406768050. Its totient is φ = 32298240.

The previous prime is 121120199. The next prime is 121120229. The reversal of 121120200 is 2021121.

It can be written as a sum of positive squares in 3 ways, for example, as 60933636 + 60186564 = 7806^2 + 7758^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31845 + ... + 35444.

Almost surely, 2121120200 is an apocalyptic number.

121120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120200 is an abundant number, since it is smaller than the sum of its proper divisors (285647850).

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

121120200 is a wasteful number, since it uses less digits than its factorization.

121120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67311 (or 67299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121120200 is about 11005.4622801589. The cubic root of 121120200 is about 494.7724696572.

Adding to 121120200 its reverse (2021121), we get a palindrome (123141321).

The spelling of 121120200 in words is "one hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 67289 134578 201867 269156 336445 403734 538312 605601 672890 807468 1009335 1211202 1345780 1614936 1682225 2018670 2422404 2691560 3028005 3364450 4037340 4844808 5046675 6056010 6728900 8074680 10093350 12112020 13457800 15140025 20186700 24224040 30280050 40373400 60560100 121120200