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121211400 = 23352269751
BaseRepresentation
bin1110011100110…
…00101000001000
322110002011210010
413032120220020
5222012231100
620005551520
73001165002
oct716305010
9273064703
10121211400
1162469a12
12347155a0
131c15c42b
1412153372
15a994750
hex7398a08

121211400 has 96 divisors (see below), whose sum is σ = 377654400. Its totient is φ = 32160000.

The previous prime is 121211399. The next prime is 121211437. The reversal of 121211400 is 4112121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161025 + ... + 161775.

It is an arithmetic number, because the mean of its divisors is an integer number (3933900).

Almost surely, 2121211400 is an apocalyptic number.

121211400 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 121211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188827200).

121211400 is an abundant number, since it is smaller than the sum of its proper divisors (256443000).

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

121211400 is a wasteful number, since it uses less digits than its factorization.

121211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

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

The square root of 121211400 is about 11009.6048975429. The cubic root of 121211400 is about 494.8966216111.

Adding to 121211400 its reverse (4112121), we get a palindrome (125323521).

The spelling of 121211400 in words is "one hundred twenty-one million, two hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 269 300 538 600 751 807 1076 1345 1502 1614 2152 2253 2690 3004 3228 3755 4035 4506 5380 6008 6456 6725 7510 8070 9012 10760 11265 13450 15020 16140 18024 18775 20175 22530 26900 30040 32280 37550 40350 45060 53800 56325 75100 80700 90120 112650 150200 161400 202019 225300 404038 450600 606057 808076 1010095 1212114 1616152 2020190 2424228 3030285 4040380 4848456 5050475 6060570 8080760 10100950 12121140 15151425 20201900 24242280 30302850 40403800 60605700 121211400