Search a number
-
+
122012433320 = 23517677265037
BaseRepresentation
bin111000110100010000…
…0011111101110101000
3102122221020220211000212
41301220200133232220
53444340140331240
6132015101520252
711546403366641
oct1615040375650
9378836824025
10122012433320
1147821924058
121b791873088
13b6760c5a0b
145c9671a6c8
1532919c2165
hex1c6881fba8

122012433320 has 64 divisors (see below), whose sum is σ = 291107137680. Its totient is φ = 45866070016.

The previous prime is 122012433229. The next prime is 122012433377. The reversal of 122012433320 is 23334210221.

It can be written as a sum of positive squares in 8 ways, for example, as 121972768516 + 39664804 = 349246^2 + 6298^2 .

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, 327842 + ... + 592878.

Almost surely, 2122012433320 is an apocalyptic number.

122012433320 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 122012433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145553568840).

122012433320 is an abundant number, since it is smaller than the sum of its proper divisors (169094704360).

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

122012433320 is a wasteful number, since it uses less digits than its factorization.

122012433320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265742 (or 265738 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 122012433320 its reverse (23334210221), we get a palindrome (145346643541).

The spelling of 122012433320 in words is "one hundred twenty-two billion, twelve million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 677 680 1354 2708 3385 5416 6770 11509 13540 23018 27080 46036 57545 92072 115090 230180 265037 460360 530074 1060148 1325185 2120296 2650370 4505629 5300740 9011258 10601480 18022516 22528145 36045032 45056290 90112580 179430049 180225160 358860098 717720196 897150245 1435440392 1794300490 3050310833 3588600980 6100621666 7177201960 12201243332 15251554165 24402486664 30503108330 61006216660 122012433320