Search a number
-
+
122512124 = 22729312157
BaseRepresentation
bin1110100110101…
…10001011111100
322112112021001002
413103112023330
5222330341444
620053505432
73015223130
oct723261374
9275467032
10122512124
1163178199
1235042278
131c4c64a7
14123b13c0
15ab4ed4e
hex74d62fc

122512124 has 72 divisors (see below), whose sum is σ = 263581920. Its totient is φ = 48746880.

The previous prime is 122512087. The next prime is 122512147. The reversal of 122512124 is 421215221.

It is a junction number, because it is equal to n+sod(n) for n = 122512096 and 122512105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780254 + ... + 780410.

It is an arithmetic number, because the mean of its divisors is an integer number (3660860).

Almost surely, 2122512124 is an apocalyptic number.

122512124 is a gapful number since it is divisible by the number (14) 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 122512124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131790960).

122512124 is an abundant number, since it is smaller than the sum of its proper divisors (141069796).

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

122512124 is a wasteful number, since it uses less digits than its factorization.

122512124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 122512124 is about 11068.5195035289. The cubic root of 122512124 is about 496.6605781776.

Adding to 122512124 its reverse (421215221), we get a palindrome (543727345).

The spelling of 122512124 in words is "one hundred twenty-two million, five hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 157 203 217 314 406 434 628 812 868 899 961 1099 1798 1922 2198 3596 3844 4396 4553 4867 6293 6727 9106 9734 12586 13454 18212 19468 25172 26908 27869 31871 34069 55738 63742 68138 111476 127484 136276 141143 150877 195083 282286 301754 390166 564572 603508 780332 988001 1056139 1976002 2112278 3952004 4224556 4375433 8750866 17501732 30628031 61256062 122512124