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122233130320 = 2457231181921
BaseRepresentation
bin111000111010110101…
…0011000110101010000
3102200111122012101101211
41301311222120311100
54000313140132240
6132053024105504
711555023315300
oct1616552306520
9380448171354
10122233130320
1147925462a74
121b833765294
13b6aca48762
145cb7b69600
1532a6068bea
hex1c75a98d50

122233130320 has 60 divisors (see below), whose sum is σ = 330590737044. Its totient is φ = 41908500480.

The previous prime is 122233130309. The next prime is 122233130359. The reversal of 122233130320 is 23031332221.

It can be written as a sum of positive squares in 2 ways, for example, as 43094438464 + 79138691856 = 207592^2 + 281316^2 .

It is a super-2 number, since 2×1222331303202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122233130291 and 122233130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15587041 + ... + 15594880.

Almost surely, 2122233130320 is an apocalyptic number.

122233130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122233130320 is an abundant number, since it is smaller than the sum of its proper divisors (208357606724).

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

122233130320 is a wasteful number, since it uses less digits than its factorization.

122233130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31181948 (or 31181935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 122233130320 its reverse (23031332221), we get a palindrome (145264462541).

The spelling of 122233130320 in words is "one hundred twenty-two billion, two hundred thirty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 31181921 62363842 124727684 155909605 218273447 249455368 311819210 436546894 498910736 623638420 873093788 1091367235 1247276840 1527914129 1746187576 2182734470 2494553680 3055828258 3492375152 4365468940 6111656516 7639570645 8730937880 12223313032 15279141290 17461875760 24446626064 30558282580 61116565160 122233130320