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121012022201120 = 2552237633753353
BaseRepresentation
bin11011100000111101001110…
…100110001100101100100000
3120212110122011220002112222122
4123200331032212030230200
5111330130110140413440
61105212053332523412
734326554502024221
oct3340751646145440
9525418156075878
10121012022201120
1135615a01834806
12116a4b35480568
13526a50033128b
1421c5028033248
15decc015757b5
hex6e0f4e98cb20

121012022201120 has 96 divisors (see below), whose sum is σ = 286069199916528. Its totient is φ = 48374628876288.

The previous prime is 121012022201047. The next prime is 121012022201137. The reversal of 121012022201120 is 21102220210121.

It can be written as a sum of positive squares in 8 ways, for example, as 88691114419216 + 32320907781904 = 9417596^2 + 5685148^2 .

It is a super-3 number, since 3×1210120222011203 (a number of 43 digits) contains 333 as substring.

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, 2268112364 + ... + 2268165716.

Almost surely, 2121012022201120 is an apocalyptic number.

121012022201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012022201120 is an abundant number, since it is smaller than the sum of its proper divisors (165057177715408).

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

121012022201120 is a wasteful number, since it uses less digits than its factorization.

121012022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61942 (or 61934 counting only the distinct ones).

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

Adding to 121012022201120 its reverse (21102220210121), we get a palindrome (142114242411241).

The spelling of 121012022201120 in words is "one hundred twenty-one trillion, twelve billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2237 4474 6337 8948 11185 12674 17896 22370 25348 31685 35792 44740 50696 53353 63370 71584 89480 101392 106706 126740 178960 202784 213412 253480 266765 357920 426824 506960 533530 853648 1013920 1067060 1707296 2134120 4268240 8536480 14175869 28351738 56703476 70879345 113406952 119350661 141758690 226813904 238701322 283517380 338097961 453627808 477402644 567034760 596753305 676195922 954805288 1134069520 1193506610 1352391844 1690489805 1909610576 2268139040 2387013220 2704783688 3380979610 3819221152 4774026440 5409567376 6761959220 9548052880 10819134752 13523918440 19096105760 27047836880 54095673760 756325138757 1512650277514 3025300555028 3781625693785 6050601110056 7563251387570 12101202220112 15126502775140 24202404440224 30253005550280 60506011100560 121012022201120