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1210121201120 = 255132291543207
BaseRepresentation
bin10001100111000000110…
…110000010010111100000
311021200112102112101210012
4101213000312002113200
5124311312011413440
62323531053024052
7153266634331016
oct21470066022740
94250472471705
101210121201120
11427233963317
12176643185028
138a16342ca00
14427da7da8b6
1521728539e65
hex119c0d825e0

1210121201120 has 144 divisors (see below), whose sum is σ = 3202496105760. Its totient is φ = 431406323712.

The previous prime is 1210121201119. The next prime is 1210121201239. The reversal of 1210121201120 is 211021210121.

It is a super-2 number, since 2×12101212011202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210121201095 and 1210121201104.

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, 12557 + ... + 1555763.

It is an arithmetic number, because the mean of its divisors is an integer number (22239556290).

Almost surely, 21210121201120 is an apocalyptic number.

1210121201120 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 1210121201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601248052880).

1210121201120 is an abundant number, since it is smaller than the sum of its proper divisors (1992374904640).

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

1210121201120 is a wasteful number, since it uses less digits than its factorization.

1210121201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543277 (or 1543256 counting only the distinct ones).

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

Adding to 1210121201120 its reverse (211021210121), we get a palindrome (1421142411241).

Subtracting from 1210121201120 its reverse (211021210121), we obtain a palindrome (999099990999).

The spelling of 1210121201120 in words is "one trillion, two hundred ten billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 169 208 232 260 290 338 377 416 464 520 580 676 754 845 928 1040 1160 1352 1508 1690 1885 2080 2320 2704 3016 3380 3770 4640 4901 5408 6032 6760 7540 9802 12064 13520 15080 19604 24505 27040 30160 39208 49010 60320 78416 98020 156832 196040 392080 784160 1543207 3086414 6172828 7716035 12345656 15432070 20061691 24691312 30864140 40123382 44753003 49382624 61728280 80246764 89506006 100308455 123456560 160493528 179012012 200616910 223765015 246913120 260801983 320987056 358024024 401233820 447530030 521603966 581789039 641974112 716048048 802467640 895060060 1043207932 1163578078 1304009915 1432096096 1604935280 1790120120 2086415864 2327156156 2608019830 2908945195 3209870560 3580240240 4172831728 4654312312 5216039660 5817890390 7160480480 7563257507 8345663456 9308624624 10432079320 11635780780 15126515014 18617249248 20864158640 23271561560 30253030028 37816287535 41728317280 46543123120 60506060056 75632575070 93086246240 121012120112 151265150140 242024240224 302530300280 605060600560 1210121201120