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122221000101120 = 283567475050529
BaseRepresentation
bin11011110010100011001011…
…010010111000110100000000
3121000202012202122022020110220
4123302203023102320310000
5112004432102011213440
61111535315145023040
734513114214434644
oct3362431322706400
9530665678266426
10122221000101120
1135a416a9297a68
121185b2b9784a80
13532751092c03b
142227756a5cc24
15e1e3ae5248d0
hex6f28cb4b8d00

122221000101120 has 144 divisors (see below), whose sum is σ = 396169339594560. Its totient is φ = 32105814884352.

The previous prime is 122221000101071. The next prime is 122221000101121. The reversal of 122221000101120 is 21101000122221.

It is a super-3 number, since 3×1222210001011203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122221000101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221000101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237267985 + ... + 237782544.

Almost surely, 2122221000101120 is an apocalyptic number.

122221000101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221000101120 is an abundant number, since it is smaller than the sum of its proper divisors (273948339493440).

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

122221000101120 is an equidigital number, since it uses as much as digits as its factorization.

122221000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475050620 (or 475050606 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122221000101120 its reverse (21101000122221), we get a palindrome (143322000223341).

The spelling of 122221000101120 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 536 640 670 768 804 960 1005 1072 1280 1340 1608 1920 2010 2144 2680 3216 3840 4020 4288 5360 6432 8040 8576 10720 12864 16080 17152 21440 25728 32160 42880 51456 64320 85760 128640 257280 475050529 950101058 1425151587 1900202116 2375252645 2850303174 3800404232 4750505290 5700606348 7125757935 7600808464 9501010580 11401212696 14251515870 15201616928 19002021160 22802425392 28503031740 30403233856 31828385443 38004042320 45604850784 57006063480 60806467712 63656770886 76008084640 91209701568 95485156329 114012126960 121612935424 127313541772 152016169280 159141927215 182419403136 190970312658 228024253920 254627083544 304032338560 318283854430 364838806272 381940625316 456048507840 477425781645 509254167088 608064677120 636567708860 763881250632 912097015680 954851563290 1018508334176 1273135417720 1527762501264 1824194031360 1909703126580 2037016668352 2546270835440 3055525002528 3819406253160 4074033336704 5092541670880 6111050005056 7638812506320 8148066673408 10185083341760 12222100010112 15277625012640 20370166683520 24444200020224 30555250025280 40740333367040 61110500050560 122221000101120