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122312152004020 = 22511978521672643
BaseRepresentation
bin11011110011111000000100…
…010111110011010110110100
3121001001221001011200200022121
4123303320010113303112310
5112012430241403112040
61112045232114405324
734522522102015666
oct3363700427632664
9531057034620277
10122312152004020
1135a77324153820
1211874ab8290844
135332ca92a5564
14222bd2292a536
15e21946a8ac4a
hex6f3e045f35b4

122312152004020 has 96 divisors (see below), whose sum is σ = 283128386921856. Its totient is φ = 44013387571200.

The previous prime is 122312152004017. The next prime is 122312152004033. The reversal of 122312152004020 is 20400251213221.

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, 181501819 + ... + 182174461.

It is an arithmetic number, because the mean of its divisors is an integer number (2949254030436).

Almost surely, 2122312152004020 is an apocalyptic number.

122312152004020 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 122312152004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141564193460928).

122312152004020 is an abundant number, since it is smaller than the sum of its proper divisors (160816234917836).

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

122312152004020 is a wasteful number, since it uses less digits than its factorization.

122312152004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681281 (or 681279 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 122312152004020 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred fifty-two million, four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 8521 10670 17042 21340 34084 42605 85210 93731 170420 187462 374924 468655 672643 826537 937310 1345286 1653074 1874620 2690572 3306148 3363215 4132685 6726430 7399073 8265370 9091907 13452860 14798146 16530740 18183814 29596292 36367628 36995365 45459535 65246371 73990730 90919070 130492742 147981460 181838140 260985484 326231855 652463710 717710081 1304927420 1435420162 2870840324 3588550405 5731591003 7177100810 11463182006 14354201620 22926364012 28657955015 57315910030 63047501033 114631820060 126095002066 252190004132 315237505165 555964327291 630475010330 1111928654582 1260950020660 2223857309164 2779821636455 5559643272910 6115607600201 11119286545820 12231215200402 24462430400804 30578038001005 61156076002010 122312152004020