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20122033120 = 255779227419
BaseRepresentation
bin10010101111010111…
…011101101111100000
31220221100011012012221
4102233113131233200
5312202220024440
613124405000424
71311433313410
oct225727355740
956840135187
1020122033120
1185963aa342
123a969b3114
131b88a64097
14d8c5b0640
157cb823d4a
hex4af5ddbe0

20122033120 has 96 divisors (see below), whose sum is σ = 55017446400. Its totient is φ = 6811623936.

The previous prime is 20122033111. The next prime is 20122033189. The reversal of 20122033120 is 2133022102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20122033094 and 20122033103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25230 + ... + 202189.

It is an arithmetic number, because the mean of its divisors is an integer number (573098400).

Almost surely, 220122033120 is an apocalyptic number.

20122033120 is a gapful number since it is divisible by the number (20) 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 20122033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27508723200).

20122033120 is an abundant number, since it is smaller than the sum of its proper divisors (34895413280).

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

20122033120 is a wasteful number, since it uses less digits than its factorization.

20122033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227520 (or 227512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20122033120 its reverse (2133022102), we get a palindrome (22255055222).

The spelling of 20122033120 in words is "twenty billion, one hundred twenty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 790 1106 1120 1264 1580 2212 2528 2765 3160 4424 5530 6320 8848 11060 12640 17696 22120 44240 88480 227419 454838 909676 1137095 1591933 1819352 2274190 3183866 3638704 4548380 6367732 7277408 7959665 9096760 12735464 15919330 17966101 18193520 25470928 31838660 35932202 36387040 50941856 63677320 71864404 89830505 125762707 127354640 143728808 179661010 251525414 254709280 287457616 359322020 503050828 574915232 628813535 718644040 1006101656 1257627070 1437288080 2012203312 2515254140 2874576160 4024406624 5030508280 10061016560 20122033120