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121020023088 = 24325997146849
BaseRepresentation
bin111000010110101011…
…0110000000100110000
3102120101002112011010100
41300231112300010300
53440322111214323
6131332411032400
711512663136436
oct1605526600460
9376332464110
10121020023088
1147362714608
121b55543b700
13b548615323
145c009c6d56
1532347de943
hex1c2d5b0130

121020023088 has 120 divisors (see below), whose sum is σ = 347981634000. Its totient is φ = 39247183872.

The previous prime is 121020023087. The next prime is 121020023101. The reversal of 121020023088 is 880320020121.

It is not an unprimeable number, because it can be changed into a prime (121020023083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750688 + ... + 897536.

It is an arithmetic number, because the mean of its divisors is an integer number (2899846950).

Almost surely, 2121020023088 is an apocalyptic number.

121020023088 is a gapful number since it is divisible by the number (18) 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 121020023088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173990817000).

121020023088 is an abundant number, since it is smaller than the sum of its proper divisors (226961610912).

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

121020023088 is a wasteful number, since it uses less digits than its factorization.

121020023088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147019 (or 147010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 121020023088 in words is "one hundred twenty-one billion, twenty million, twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 97 118 144 177 194 236 291 354 388 472 531 582 708 776 873 944 1062 1164 1416 1552 1746 2124 2328 2832 3492 4248 4656 5723 6984 8496 11446 13968 17169 22892 34338 45784 51507 68676 91568 103014 137352 146849 206028 274704 293698 412056 440547 587396 824112 881094 1174792 1321641 1762188 2349584 2643282 3524376 5286564 7048752 8664091 10573128 14244353 17328182 21146256 25992273 28488706 34656364 42733059 51984546 56977412 69312728 77976819 85466118 103969092 113954824 128199177 138625456 155953638 170932236 207938184 227909648 256398354 311907276 341864472 415876368 512796708 623814552 683728944 840416827 1025593416 1247629104 1680833654 2051186832 2521250481 3361667308 5042500962 6723334616 7563751443 10085001924 13446669232 15127502886 20170003848 30255005772 40340007696 60510011544 121020023088