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122212043040 = 2535594315397
BaseRepresentation
bin111000111010001100…
…1111100100100100000
3102200110011112001002110
41301310121330210200
54000242240334130
6132050552115320
711554346140323
oct1616431744440
9380404461073
10122212043040
114791456a86a
121b828695b40
13b6a8574489
145cb503a7ba
1532a42a0ab0
hex1c7467c920

122212043040 has 96 divisors (see below), whose sum is σ = 391492906560. Its totient is φ = 32037499904.

The previous prime is 122212043021. The next prime is 122212043059. The reversal of 122212043040 is 40340212221.

It is an interprime number because it is at equal distance from previous prime (122212043021) and next prime (122212043059).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 122212042998 and 122212043016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2129379 + ... + 2186018.

It is an arithmetic number, because the mean of its divisors is an integer number (4078051110).

Almost surely, 2122212043040 is an apocalyptic number.

122212043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212043040 is an abundant number, since it is smaller than the sum of its proper divisors (269280863520).

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

122212043040 is a wasteful number, since it uses less digits than its factorization.

122212043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315474 (or 4315466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 122212043040 its reverse (40340212221), we get a palindrome (162552255261).

The spelling of 122212043040 in words is "one hundred twenty-two billion, two hundred twelve million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 4315397 8630794 12946191 17261588 21576985 25892382 34523176 43153970 51784764 64730955 69046352 86307940 103569528 129461910 138092704 172615880 207139056 254608423 258923820 345231760 414278112 509216846 517847640 690463520 763825269 1018433692 1035695280 1273042115 1527650538 2036867384 2071390560 2546084230 3055301076 3819126345 4073734768 5092168460 6110602152 7638252690 8147469536 10184336920 12221204304 15276505380 20368673840 24442408608 30553010760 40737347680 61106021520 122212043040