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121220208 = 24321097723
BaseRepresentation
bin1110011100110…
…10110001110000
322110002121212100
413032122301300
5222013021313
620010100400
73001232454
oct716326160
9273077770
10121220208
116247559a
123471a700
131c163445
1412156664
15a997173
hex739ac70

121220208 has 60 divisors (see below), whose sum is σ = 342404920. Its totient is φ = 40030848.

The previous prime is 121220201. The next prime is 121220213. The reversal of 121220208 is 802022121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11835 + ... + 19557.

Almost surely, 2121220208 is an apocalyptic number.

121220208 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 121220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171202460).

121220208 is an abundant number, since it is smaller than the sum of its proper divisors (221184712).

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

121220208 is a wasteful number, since it uses less digits than its factorization.

121220208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7837 counting only the distinct ones).

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

The square root of 121220208 is about 11010.0049046311. The cubic root of 121220208 is about 494.9086087780.

Adding to 121220208 its reverse (802022121), we get a palindrome (923242329).

The spelling of 121220208 in words is "one hundred twenty-one million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7723 7848 15446 15696 23169 30892 46338 61784 69507 92676 123568 139014 185352 278028 370704 556056 841807 1112112 1683614 2525421 3367228 5050842 6734456 7576263 10101684 13468912 15152526 20203368 30305052 40406736 60610104 121220208