Search a number
-
+
122001240 = 233541137181
BaseRepresentation
bin1110100010110…
…01011101011000
322111120022020110
413101121131120
5222213014430
620034524320
73010664514
oct721313530
9274508213
10122001240
1162959379
1234a366a0
131c377aaa
14122bb144
15aa9d7b0
hex7459758

122001240 has 128 divisors (see below), whose sum is σ = 379753920. Its totient is φ = 31334400.

The previous prime is 122001221. The next prime is 122001259. The reversal of 122001240 is 42100221.

It is an interprime number because it is at equal distance from previous prime (122001221) and next prime (122001259).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673950 + ... + 674130.

Almost surely, 2122001240 is an apocalyptic number.

122001240 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 122001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189876960).

122001240 is an abundant number, since it is smaller than the sum of its proper divisors (257752680).

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

122001240 is a wasteful number, since it uses less digits than its factorization.

122001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122001240 is about 11045.4171492072. The cubic root of 122001240 is about 495.9692467058.

Adding to 122001240 its reverse (42100221), we get a palindrome (164101461).

The spelling of 122001240 in words is "one hundred twenty-two million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 137 164 181 205 246 274 328 362 410 411 492 543 548 615 685 724 820 822 905 984 1086 1096 1230 1370 1448 1640 1644 1810 2055 2172 2460 2715 2740 3288 3620 4110 4344 4920 5430 5480 5617 7240 7421 8220 10860 11234 14842 16440 16851 21720 22263 22468 24797 28085 29684 33702 37105 44526 44936 49594 56170 59368 67404 74210 74391 84255 89052 99188 111315 112340 123985 134808 148420 148782 168510 178104 198376 222630 224680 247970 296840 297564 337020 371955 445260 495940 595128 674040 743910 890520 991880 1016677 1487820 2033354 2975640 3050031 4066708 5083385 6100062 8133416 10166770 12200124 15250155 20333540 24400248 30500310 40667080 61000620 122001240