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122161230960 = 24352973240437
BaseRepresentation
bin111000111000101100…
…0000111010001110000
3102200022121220112000120
41301301120013101300
54000141233342320
6132041535050240
711553161221206
oct1616130072160
9380277815016
10122161230960
1147898914a0a
121b813670980
13b69ab93562
145cac3b1076
15329eab5440
hex1c71607470

122161230960 has 160 divisors (see below), whose sum is σ = 397126635840. Its totient is φ = 31022014464.

The previous prime is 122161230889. The next prime is 122161230977. The reversal of 122161230960 is 69032161221.

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, 387862 + ... + 628298.

It is an arithmetic number, because the mean of its divisors is an integer number (2482041474).

Almost surely, 2122161230960 is an apocalyptic number.

122161230960 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 122161230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198563317920).

122161230960 is an abundant number, since it is smaller than the sum of its proper divisors (274965404880).

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

122161230960 is a wasteful number, since it uses less digits than its factorization.

122161230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240555 (or 240549 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 122161230960 in words is "one hundred twenty-two billion, one hundred sixty-one million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 73 80 87 116 120 145 146 174 219 232 240 290 292 348 365 435 438 464 580 584 696 730 870 876 1095 1160 1168 1392 1460 1740 1752 2117 2190 2320 2920 3480 3504 4234 4380 5840 6351 6960 8468 8760 10585 12702 16936 17520 21170 25404 31755 33872 42340 50808 63510 84680 101616 127020 169360 240437 254040 480874 508080 721311 961748 1202185 1442622 1923496 2404370 2885244 3606555 3846992 4808740 5770488 6972673 7213110 9617480 11540976 13945346 14426220 17551901 19234960 20918019 27890692 28852440 34863365 35103802 41836038 52655703 55781384 57704880 69726730 70207604 83672076 87759505 104590095 105311406 111562768 139453460 140415208 167344152 175519010 209180190 210622812 263278515 278906920 280830416 334688304 351038020 418360380 421245624 509005129 526557030 557813840 702076040 836720760 842491248 1018010258 1053114060 1404152080 1527015387 1673441520 2036020516 2106228120 2545025645 3054030774 4072041032 4212456240 5090051290 6108061548 7635076935 8144082064 10180102580 12216123096 15270153870 20360205160 24432246192 30540307740 40720410320 61080615480 122161230960