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122135260 = 225131014651
BaseRepresentation
bin1110100011110…
…10001011011100
322111211010002011
413101322023130
5222231312020
620041441004
73012063322
oct721721334
9274733064
10122135260
1162a40035
1234aa0164
131c3c3ab0
1412313d12
15aac835a
hex747a2dc

122135260 has 48 divisors (see below), whose sum is σ = 279008352. Its totient is φ = 44640000.

The previous prime is 122135243. The next prime is 122135291. The reversal of 122135260 is 62531221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23935 + ... + 28585.

It is an arithmetic number, because the mean of its divisors is an integer number (5812674).

Almost surely, 2122135260 is an apocalyptic number.

122135260 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 122135260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139504176).

122135260 is an abundant number, since it is smaller than the sum of its proper divisors (156873092).

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

122135260 is a wasteful number, since it uses less digits than its factorization.

122135260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 122135260 is about 11051.4822535260. The cubic root of 122135260 is about 496.1507898715.

Adding to 122135260 its reverse (62531221), we get a palindrome (184666481).

It can be divided in two parts, 1221 and 35260, that added together give a square (36481 = 1912).

The spelling of 122135260 in words is "one hundred twenty-two million, one hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 4651 5252 6565 9302 13130 18604 23255 26260 46510 60463 93020 120926 241852 302315 469751 604630 939502 1209260 1879004 2348755 4697510 6106763 9395020 12213526 24427052 30533815 61067630 122135260