Search a number
-
+
122098212 = 22333136469
BaseRepresentation
bin1110100011100…
…01001000100100
322111202020021000
413101301020210
5222224120322
620040553300
73011550315
oct721611044
9274666230
10122098212
1162a15215
1234a82830
131c3acc82
141230460c
15aabc3ac
hex7471224

122098212 has 48 divisors (see below), whose sum is σ = 326771200. Its totient is φ = 39385440.

The previous prime is 122098201. The next prime is 122098217. The reversal of 122098212 is 212890221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122098217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14887 + ... + 21582.

Almost surely, 2122098212 is an apocalyptic number.

122098212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122098212 is an abundant number, since it is smaller than the sum of its proper divisors (204672988).

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

122098212 is a wasteful number, since it uses less digits than its factorization.

122098212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36513 (or 36505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122098212 is about 11049.8059711472. The cubic root of 122098212 is about 496.1006180282.

The spelling of 122098212 in words is "one hundred twenty-two million, ninety-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 36469 72938 109407 145876 218814 328221 437628 656442 984663 1130539 1312884 1969326 2261078 3391617 3938652 4522156 6783234 10174851 13566468 20349702 30524553 40699404 61049106 122098212