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121400208 = 2434283331
BaseRepresentation
bin1110011110001…
…10101110010000
322110102202210000
413033012232100
5222034301313
620014010000
73002612316
oct717065620
9273382700
10121400208
1162588856
12347a6900
131c1c7357
14121a20b6
15a9d0673
hex73c6b90

121400208 has 100 divisors (see below), whose sum is σ = 353674288. Its totient is φ = 40201920.

The previous prime is 121400207. The next prime is 121400231. The reversal of 121400208 is 802004121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121400207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 366603 + ... + 366933.

Almost surely, 2121400208 is an apocalyptic number.

121400208 is a gapful number since it is divisible by the number (18) 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 121400208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176837144).

121400208 is an abundant number, since it is smaller than the sum of its proper divisors (232274080).

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

121400208 is a wasteful number, since it uses less digits than its factorization.

121400208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121400208 is about 11018.1762556242. The cubic root of 121400208 is about 495.1534510475.

Adding to 121400208 its reverse (802004121), we get a palindrome (923404329).

The spelling of 121400208 in words is "one hundred twenty-one million, four hundred thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 283 324 331 432 566 648 662 849 993 1132 1296 1324 1698 1986 2264 2547 2648 2979 3396 3972 4528 5094 5296 5958 6792 7641 7944 8937 10188 11916 13584 15282 15888 17874 20376 22923 23832 26811 30564 35748 40752 45846 47664 53622 61128 71496 91692 93673 107244 122256 142992 183384 187346 214488 281019 366768 374692 428976 562038 749384 843057 1124076 1498768 1686114 2248152 2529171 3372228 4496304 5058342 6744456 7587513 10116684 13488912 15175026 20233368 30350052 40466736 60700104 121400208