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1212202121120 = 25561241515357
BaseRepresentation
bin10001101000111100111…
…000000111011110100000
311021212220110011002101022
4101220330320013132200
5124330042220333440
62324513350225012
7153402333010124
oct21507470073640
94255813132338
101212202121120
1142810154a311
12176b24055168
138a40559a113
1442956d1b584
15217eb083cb5
hex11a3ce077a0

1212202121120 has 96 divisors (see below), whose sum is σ = 2922859081296. Its totient is φ = 474952089600.

The previous prime is 1212202121083. The next prime is 1212202121153. The reversal of 1212202121120 is 211212022121.

It can be written as a sum of positive squares in 8 ways, for example, as 214624652176 + 997577468944 = 463276^2 + 998788^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094482 + ... + 2609838.

Almost surely, 21212202121120 is an apocalyptic number.

1212202121120 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 1212202121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461429540648).

1212202121120 is an abundant number, since it is smaller than the sum of its proper divisors (1710656960176).

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

1212202121120 is a wasteful number, since it uses less digits than its factorization.

1212202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515674 (or 515666 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1212202121120 its reverse (211212022121), we get a palindrome (1423414143241).

The spelling of 1212202121120 in words is "one trillion, two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 241 244 305 482 488 610 964 976 1205 1220 1928 1952 2410 2440 3856 4820 4880 7712 9640 9760 14701 19280 29402 38560 58804 73505 117608 147010 235216 294020 470432 515357 588040 1030714 1176080 2061428 2352160 2576785 4122856 5153570 8245712 10307140 16491424 20614280 31436777 41228560 62873554 82457120 124201037 125747108 157183885 248402074 251494216 314367770 496804148 502988432 621005185 628735540 993608296 1005976864 1242010370 1257471080 1987216592 2484020740 2514942160 3974433184 4968041480 5029884320 7576263257 9936082960 15152526514 19872165920 30305053028 37881316285 60610106056 75762632570 121220212112 151525265140 242440424224 303050530280 606101060560 1212202121120