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122635616070 = 235113711938419
BaseRepresentation
bin111001000110110100…
…1101111111101000110
3102201112200112210001110
41302031221233331012
54002124204203240
6132201002505450
711601011352162
oct1621551577506
9381480483043
10122635616070
1148011676520
121b926505286
13b74524a5c6
145d153b9ca2
1532cb56dc80
hex1c8da6ff46

122635616070 has 128 divisors (see below), whose sum is σ = 330075855360. Its totient is φ = 28898657280.

The previous prime is 122635616057. The next prime is 122635616087. The reversal of 122635616070 is 70616536221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14562321 + ... + 14570739.

It is an arithmetic number, because the mean of its divisors is an integer number (2578717620).

Almost surely, 2122635616070 is an apocalyptic number.

122635616070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122635616070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165037927680).

122635616070 is an abundant number, since it is smaller than the sum of its proper divisors (207440239290).

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

122635616070 is a wasteful number, since it uses less digits than its factorization.

122635616070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670.

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 122635616070 in words is "one hundred twenty-two billion, six hundred thirty-five million, six hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1193 1221 2035 2386 2442 3579 4070 5965 6105 7158 8419 11930 12210 13123 16838 17895 25257 26246 35790 39369 42095 44141 50514 65615 78738 84190 88282 92609 126285 131230 132423 185218 196845 220705 252570 264846 277827 311503 393690 441410 463045 485551 555654 623006 662115 926090 934509 971102 1324230 1389135 1456653 1557515 1869018 2427755 2778270 2913306 3115030 3426533 4672545 4855510 6853066 7283265 9345090 10043867 10279599 14566530 17132665 20087734 20559198 30131601 34265330 50219335 51397995 60263202 100438670 102795990 110482537 150658005 220965074 301316010 331447611 371623079 552412685 662895222 743246158 1104825370 1114869237 1657238055 1858115395 2229738474 3314476110 3716230790 4087853869 5574346185 8175707738 11148692370 12263561607 20439269345 24527123214 40878538690 61317808035 122635616070