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121120022088 = 23331357175541
BaseRepresentation
bin111000011001101010…
…0001101111001001000
3102120122001200121222000
41300303110031321020
53441023211201323
6131350342231000
711515316125632
oct1606324157110
9376561617860
10121120022088
114740410530a
121b582a25460
13b563258530
145c0ddb7a52
15323d493e43
hex1c3350de48

121120022088 has 128 divisors (see below), whose sum is σ = 362964201600. Its totient is φ = 37201939200.

The previous prime is 121120022087. The next prime is 121120022119. The reversal of 121120022088 is 880220021121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121120022087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565598 + ... + 1641138.

It is an arithmetic number, because the mean of its divisors is an integer number (2835657825).

Almost surely, 2121120022088 is an apocalyptic number.

121120022088 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 121120022088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181482100800).

121120022088 is an abundant number, since it is smaller than the sum of its proper divisors (241844179512).

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

121120022088 is a wasteful number, since it uses less digits than its factorization.

121120022088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76140 (or 76130 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 121120022088 in words is "one hundred twenty-one billion, one hundred twenty million, twenty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 571 702 936 1142 1404 1713 2284 2808 3426 4568 5139 6852 7423 10278 13704 14846 15417 20556 22269 29692 30834 41112 44538 59384 61668 66807 75541 89076 123336 133614 151082 178152 200421 226623 267228 302164 400842 453246 534456 604328 679869 801684 906492 982033 1359738 1603368 1812984 1964066 2039607 2719476 2946099 3928132 4079214 5438952 5892198 7856264 8158428 8838297 11784396 16316856 17676594 23568792 26514891 35353188 43133911 53029782 70706376 86267822 106059564 129401733 172535644 212119128 258803466 345071288 388205199 517606932 560740843 776410398 1035213864 1121481686 1164615597 1552820796 1682222529 2242963372 2329231194 3105641592 3364445058 4485926744 4658462388 5046667587 6728890116 9316924776 10093335174 13457780232 15140002761 20186670348 30280005522 40373340696 60560011044 121120022088