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121011040200 = 23352727277421
BaseRepresentation
bin111000010110011010…
…0011110111111001000
3102120100110121202220210
41300230310132333020
53440312311241300
6131331450321120
711512523604321
oct1605464367710
9376313552823
10121011040200
1147358639636
121b5524291a0
13b5467bb6cb
145bdd729448
153233b18050
hex1c2cd1efc8

121011040200 has 96 divisors (see below), whose sum is σ = 375651581760. Its totient is φ = 32225107200.

The previous prime is 121011040187. The next prime is 121011040237. The reversal of 121011040200 is 2040110121.

It is a happy number.

121011040200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 297490 + ... + 574910.

It is an arithmetic number, because the mean of its divisors is an integer number (3913037310).

Almost surely, 2121011040200 is an apocalyptic number.

121011040200 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 121011040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187825790880).

121011040200 is an abundant number, since it is smaller than the sum of its proper divisors (254640541560).

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

121011040200 is a wasteful number, since it uses less digits than its factorization.

121011040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278167 (or 278158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121011040200 its reverse (2040110121), we get a palindrome (123051150321).

The spelling of 121011040200 in words is "one hundred twenty-one billion, eleven million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 14540 17448 18175 21810 29080 36350 43620 54525 72700 87240 109050 145400 218100 277421 436200 554842 832263 1109684 1387105 1664526 2219368 2774210 3329052 4161315 5548420 6658104 6935525 8322630 11096840 13871050 16645260 20806575 27742100 33290520 41613150 55484200 83226300 166452600 201685067 403370134 605055201 806740268 1008425335 1210110402 1613480536 2016850670 2420220804 3025276005 4033701340 4840441608 5042126675 6050552010 8067402680 10084253350 12101104020 15126380025 20168506700 24202208040 30252760050 40337013400 60505520100 121011040200