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122220122120000 = 26545357651001
BaseRepresentation
bin11011110010100010010110…
…111101101001111101000000
3121000202010111110020011210122
4123302202112331221331000
5112004423302230320000
61111535052102515412
734513053363634142
oct3362422675517500
9530663443204718
10122220122120000
1135a41298734833
121185b0b3735b68
135327400a74998
1422276b21d4c92
15e1e35c3e7085
hex6f2896f69f40

122220122120000 has 140 divisors (see below), whose sum is σ = 308784416510196. Its totient is φ = 47965632000000.

The previous prime is 122220122119999. The next prime is 122220122120003. The reversal of 122220122120000 is 21221022221.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 76768578485824 + 45451543634176 = 8761768^2 + 6741776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220122120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26705501 + ... + 30945500.

Almost surely, 2122220122120000 is an apocalyptic number.

122220122120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220122120000 is an abundant number, since it is smaller than the sum of its proper divisors (186564294390196).

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

122220122120000 is an frugal number, since it uses more digits than its factorization.

122220122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57651086 (or 57651061 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122220122120000 its reverse (21221022221), we get a palindrome (122241343142221).

The spelling of 122220122120000 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 160 200 212 250 265 320 400 424 500 530 625 800 848 1000 1060 1250 1325 1600 1696 2000 2120 2500 2650 3392 4000 4240 5000 5300 6625 8000 8480 10000 10600 13250 16960 20000 21200 26500 33125 40000 42400 53000 66250 84800 106000 132500 212000 265000 424000 530000 1060000 2120000 57651001 115302002 230604004 288255005 461208008 576510010 922416016 1153020020 1441275025 1844832032 2306040040 2882550050 3055503053 3689664064 4612080080 5765100100 6111006106 7206375125 9224160160 11530200200 12222012212 14412750250 15277515265 18448320320 23060400400 24444024424 28825500500 30555030530 36031875625 46120800800 48888048848 57651001000 61110061060 72063751250 76387576325 92241601600 97776097696 115302002000 122220122120 144127502500 152775152650 195552195392 230604004000 244440244240 288255005000 305550305300 381937881625 461208008000 488880488480 576510010000 611100610600 763875763250 977760976960 1153020020000 1222201221200 1527751526500 1909689408125 2306040040000 2444402442400 3055503053000 3819378816250 4888804884800 6111006106000 7638757632500 12222012212000 15277515265000 24444024424000 30555030530000 61110061060000 122220122120000