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1220112111200 = 25523149699901
BaseRepresentation
bin10001110000010100010…
…110010101011001100000
311022122022201012012212212
4101300110112111121200
5124442242200024300
62332302312541252
7154102341553523
oct21602426253140
94278281165785
101220112111200
114304a05299a4
121785710b1828
138b096286918
14430a7674bba
1521b106ee935
hex11c14595660

1220112111200 has 144 divisors (see below), whose sum is σ = 3075611898240. Its totient is φ = 472158720000.

The previous prime is 1220112111173. The next prime is 1220112111241. The reversal of 1220112111200 is 21112110221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123226250 + ... + 123236150.

It is an arithmetic number, because the mean of its divisors is an integer number (21358415960).

Almost surely, 21220112111200 is an apocalyptic number.

1220112111200 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 1220112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537805949120).

1220112111200 is an abundant number, since it is smaller than the sum of its proper divisors (1855499787040).

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

1220112111200 is a wasteful number, since it uses less digits than its factorization.

1220112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14921 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1220112111200 its reverse (21112110221), we get a palindrome (1241224221421).

The spelling of 1220112111200 in words is "one trillion, two hundred twenty billion, one hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 4969 6200 9901 9938 12400 19802 19876 24800 24845 39604 39752 49505 49690 79208 79504 99010 99380 124225 154039 158416 159008 198020 198760 247525 248450 306931 308078 316832 396040 397520 495050 496900 613862 616156 770195 792080 795040 990100 993800 1227724 1232312 1534655 1540390 1584160 1980200 1987600 2455448 2464624 3069310 3080780 3850975 3960400 3975200 4910896 4929248 6138620 6161560 7673275 7701950 7920800 9821792 12277240 12323120 15346550 15403900 24554480 24646240 30693100 30807800 49108960 49198069 61386200 61615600 98396138 122772400 123231200 196792276 245544800 245990345 393584552 491980690 787169104 983961380 1229951725 1525140139 1574338208 1967922760 2459903450 3050280278 3935845520 4919806900 6100560556 7625700695 7871691040 9839613800 12201121112 15251401390 19679227600 24402242224 30502802780 38128503475 39358455200 48804484448 61005605560 76257006950 122011211120 152514013900 244022422240 305028027800 610056055600 1220112111200