Search a number
-
+
121123203000 = 2335367602603
BaseRepresentation
bin111000011001110000…
…0010110011110111000
3102120122021200020100120
41300303200112132320
53441030014444000
6131350534333240
711515355144502
oct1606340263670
9376567606316
10121123203000
1147405988168
121b583aba220
13b563b00327
145c105a4d72
15323d8c16a0
hex1c338167b8

121123203000 has 128 divisors (see below), whose sum is σ = 383545393920. Its totient is φ = 31817385600.

The previous prime is 121123202989. The next prime is 121123203001. The reversal of 121123203000 is 302321121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123203001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100302 + ... + 502301.

It is an arithmetic number, because the mean of its divisors is an integer number (2996448390).

Almost surely, 2121123203000 is an apocalyptic number.

121123203000 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 121123203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191772696960).

121123203000 is an abundant number, since it is smaller than the sum of its proper divisors (262422190920).

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

121123203000 is a wasteful number, since it uses less digits than its factorization.

121123203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602694 (or 602680 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121123203000 its reverse (302321121), we get a palindrome (121425524121).

The spelling of 121123203000 in words is "one hundred twenty-one billion, one hundred twenty-three million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 13400 16750 20100 25125 33500 40200 50250 67000 100500 201000 602603 1205206 1807809 2410412 3013015 3615618 4820824 6026030 7231236 9039045 12052060 14462472 15065075 18078090 24104120 30130150 36156180 40374401 45195225 60260300 72312360 75325375 80748802 90390450 120520600 121123203 150650750 161497604 180780900 201872005 225976125 242246406 301301500 322995208 361561800 403744010 451952250 484492812 602603000 605616015 807488020 903904500 968985624 1009360025 1211232030 1614976040 1807809000 2018720050 2422464060 3028080075 4037440100 4844928120 5046800125 6056160150 8074880200 10093600250 12112320300 15140400375 20187200500 24224640600 30280800750 40374401000 60561601500 121123203000