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1332222131120 = 245791511395991
BaseRepresentation
bin10011011000101110101…
…000000111101110110000
311201100200211222022102212
4103120232220013232300
5133311342331143440
62500003035431252
7165151464162536
oct23305650075660
94640624868385
101332222131120
11473aa0731221
1219623a5b5528
139882196c30a
14486a0b92156
15249c2b8d465
hex1362ea07bb0

1332222131120 has 80 divisors (see below), whose sum is σ = 3157398865920. Its totient is φ = 522658656000.

The previous prime is 1332222131101. The next prime is 1332222131131. The reversal of 1332222131120 is 211312222331.

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

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, 256325 + ... + 1652315.

It is an arithmetic number, because the mean of its divisors is an integer number (39467485824).

Almost surely, 21332222131120 is an apocalyptic number.

1332222131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332222131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578699432960).

1332222131120 is an abundant number, since it is smaller than the sum of its proper divisors (1825176734800).

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

1332222131120 is a wasteful number, since it uses less digits than its factorization.

1332222131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396234 (or 1396228 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1332222131120 its reverse (211312222331), we get a palindrome (1543534353451).

The spelling of 1332222131120 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 151 158 302 316 395 604 632 755 790 1208 1264 1510 1580 2416 3020 3160 6040 6320 11929 12080 23858 47716 59645 95432 119290 190864 238580 477160 954320 1395991 2791982 5583964 6979955 11167928 13959910 22335856 27919820 55839640 110283289 111679280 210794641 220566578 421589282 441133156 551416445 843178564 882266312 1053973205 1102832890 1686357128 1764532624 2107946410 2205665780 3372714256 4215892820 4411331560 8431785640 8822663120 16652776639 16863571280 33305553278 66611106556 83263883195 133222213112 166527766390 266444426224 333055532780 666111065560 1332222131120