Search a number
-
+
122021031200 = 2552438574139
BaseRepresentation
bin111000110100100000…
…1010010110100100000
3102122221212002122002212
41301221001102310200
53444344340444300
6132020010101252
711546536436435
oct1615101226440
9378855078085
10122021031200
1147826766842
121b79471a828
13b677b16313
145c97917b8c
15329261e935
hex1c69052d20

122021031200 has 144 divisors (see below), whose sum is σ = 305240775840. Its totient is φ = 47606200320.

The previous prime is 122021031163. The next prime is 122021031227. The reversal of 122021031200 is 2130120221.

It is a happy number.

It is a super-2 number, since 2×1220210312002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29478731 + ... + 29482869.

It is an arithmetic number, because the mean of its divisors is an integer number (2119727610).

Almost surely, 2122021031200 is an apocalyptic number.

122021031200 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 122021031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152620387920).

122021031200 is an abundant number, since it is smaller than the sum of its proper divisors (183219744640).

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

122021031200 is a wasteful number, since it uses less digits than its factorization.

122021031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122021031200 its reverse (2130120221), we get a palindrome (124151151421).

The spelling of 122021031200 in words is "one hundred twenty-two billion, twenty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 800 857 860 1075 1376 1714 1720 2150 3428 3440 4139 4285 4300 6856 6880 8278 8570 8600 13712 16556 17140 17200 20695 21425 27424 33112 34280 34400 36851 41390 42850 66224 68560 73702 82780 85700 103475 132448 137120 147404 165560 171400 177977 184255 206950 294808 331120 342800 355954 368510 413900 589616 662240 685600 711908 737020 827800 889885 921275 1179232 1423816 1474040 1655600 1779770 1842550 2847632 2948080 3311200 3547123 3559540 3685100 4449425 5695264 5896160 7094246 7119080 7370200 8898850 14188492 14238160 14740400 17735615 17797700 28376984 28476320 29480800 35471230 35595400 56753968 70942460 71190800 88678075 113507936 141884920 142381600 152526289 177356150 283769840 305052578 354712300 567539680 610105156 709424600 762631445 1220210312 1418849200 1525262890 2440420624 2837698400 3050525780 3813157225 4880841248 6101051560 7626314450 12202103120 15252628900 24404206240 30505257800 61010515600 122021031200