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121626220 = 225191013169
BaseRepresentation
bin1110011111111…
…01111001101100
322110212020210211
413033331321230
5222114014340
620022512204
73004543252
oct717757154
9273766724
10121626220
1162722641
1234895664
131c2761a1
14122205d2
15aa275ea
hex73fde6c

121626220 has 48 divisors (see below), whose sum is σ = 271605600. Its totient is φ = 45619200.

The previous prime is 121626217. The next prime is 121626221. The reversal of 121626220 is 22626121.

It is a junction number, because it is equal to n+sod(n) for n = 121626191 and 121626200.

It is not an unprimeable number, because it can be changed into a prime (121626221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36796 + ... + 39964.

It is an arithmetic number, because the mean of its divisors is an integer number (5658450).

Almost surely, 2121626220 is an apocalyptic number.

121626220 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 121626220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135802800).

121626220 is an abundant number, since it is smaller than the sum of its proper divisors (149979380).

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

121626220 is a wasteful number, since it uses less digits than its factorization.

121626220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 121626220 is about 11028.4278117962. The cubic root of 121626220 is about 495.4605379600.

Subtracting from 121626220 its reverse (22626121), we obtain a palindrome (99000099).

The spelling of 121626220 in words is "one hundred twenty-one million, six hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3169 3838 6338 7676 9595 12676 15845 19190 31690 38380 60211 63380 120422 240844 301055 320069 602110 640138 1204220 1280276 1600345 3200690 6081311 6401380 12162622 24325244 30406555 60813110 121626220