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122220221211120 = 24354311843044691
BaseRepresentation
bin11011110010100010011100…
…110111101010000111110000
3121000202010202100200112021010
4123302202130313222013300
5112004424003112223440
61111535110002430520
734513056006122424
oct3362423467520760
9530663670615233
10122220221211120
1135a4133966541a
121185b120962440
13532741845a896
1422276c142ab84
15e1e365e6c580
hex6f289cdea1f0

122220221211120 has 80 divisors (see below), whose sum is σ = 387693911037312. Its totient is φ = 31834104126720.

The previous prime is 122220221211107. The next prime is 122220221211149. The reversal of 122220221211120 is 21112122022221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1222202212111202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5921512026 + ... + 5921532665.

Almost surely, 2122220221211120 is an apocalyptic number.

122220221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220221211120 is an abundant number, since it is smaller than the sum of its proper divisors (265473689826192).

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

122220221211120 is a wasteful number, since it uses less digits than its factorization.

122220221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843044750 (or 11843044744 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122220221211120 its reverse (21112122022221), we get a palindrome (143332343233341).

The spelling of 122220221211120 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 11843044691 23686089382 35529134073 47372178764 59215223455 71058268146 94744357528 118430446910 142116536292 177645670365 189488715056 236860893820 284233072584 355291340730 473721787640 509250921713 568466145168 710582681460 947443575280 1018501843426 1421165362920 1527752765139 2037003686852 2546254608565 2842330725840 3055505530278 4074007373704 5092509217130 6111011060556 7638763825695 8148014747408 10185018434260 12222022121112 15277527651390 20370036868520 24444044242224 30555055302780 40740073737040 61110110605560 122220221211120