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1122201211120 = 245112265156299
BaseRepresentation
bin10000010101001000011…
…001111001000011110000
310222021121010120010222021
4100111020121321003300
5121341232002223440
62215310534321224
7144035122623403
oct20251031710360
93867533503867
101122201211120
113a2a17367560
121615a6ab9214
1381a915198a2
143c459c63d3a
151e2ceac784a
hex105486790f0

1122201211120 has 80 divisors (see below), whose sum is σ = 2846486563200. Its totient is φ = 408047904000.

The previous prime is 1122201211081. The next prime is 1122201211169. The reversal of 1122201211120 is 211121022211.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122201211094 and 1122201211103.

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, 19904731 + ... + 19961029.

It is an arithmetic number, because the mean of its divisors is an integer number (35581082040).

Almost surely, 21122201211120 is an apocalyptic number.

1122201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122201211120 is an abundant number, since it is smaller than the sum of its proper divisors (1724285352080).

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

1122201211120 is a wasteful number, since it uses less digits than its factorization.

1122201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78974 (or 78968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122201211120 its reverse (211121022211), we get a palindrome (1333322233331).

The spelling of 1122201211120 in words is "one trillion, one hundred twenty-two billion, two hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 22651 45302 56299 90604 112598 113255 181208 225196 226510 249161 281495 362416 450392 453020 498322 562990 619289 900784 906040 996644 1125980 1238578 1245805 1812080 1993288 2251960 2477156 2491610 3096445 3986576 4503920 4954312 4983220 6192890 9908624 9966440 12385780 19932880 24771560 49543120 1275228649 2550457298 5100914596 6376143245 10201829192 12752286490 14027515139 20403658384 25504572980 28055030278 51009145960 56110060556 70137575695 102018291920 112220121112 140275151390 224440242224 280550302780 561100605560 1122201211120