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122121204 = 22329438161
BaseRepresentation
bin1110100011101…
…10101111110100
322111210101210120
413101312233310
5222230334304
620041251540
73012004332
oct721665764
9274711716
10122121204
1162a30517
1234a93bb0
131c3ba58a
141230cb52
15aac40d9
hex7476bf4

122121204 has 48 divisors (see below), whose sum is σ = 301667520. Its totient is φ = 38384640.

The previous prime is 122121203. The next prime is 122121239. The reversal of 122121204 is 402121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10884 + ... + 19044.

It is an arithmetic number, because the mean of its divisors is an integer number (6284740).

Almost surely, 2122121204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150833760).

122121204 is an abundant number, since it is smaller than the sum of its proper divisors (179546316).

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

122121204 is a wasteful number, since it uses less digits than its factorization.

122121204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122121204 is about 11050.8463024331. The cubic root of 122121204 is about 496.1317558839.

Adding to 122121204 its reverse (402121221), we get a palindrome (524242425).

The spelling of 122121204 in words is "one hundred twenty-two million, one hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 8161 14964 16322 24483 32644 48966 97932 236669 350923 473338 701846 710007 946676 1052769 1403692 1420014 2105538 2840028 4211076 10176767 20353534 30530301 40707068 61060602 122121204