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121200221220001 = 72111925163237457
BaseRepresentation
bin11011100011101100100000…
…001000011110110010100001
3120220010121221210202021201021
4123203230200020132302201
5111341221023113020001
61105434340223005441
734346266316214400
oct3343544010366241
9526117853667637
10121200221220001
11356887a8217150
12117154b8a39881
1352821937bb491
1421d019cb01637
15e02a6898cba1
hex6e3b2021eca1

121200221220001 has 96 divisors (see below), whose sum is σ = 162592638405120. Its totient is φ = 89088612480000.

The previous prime is 121200221219989. The next prime is 121200221220083. The reversal of 121200221220001 is 100022122002121.

It is a happy number.

It is not a de Polignac number, because 121200221220001 - 25 = 121200221219969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121200221220601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16253210865 + ... + 16253218321.

It is an arithmetic number, because the mean of its divisors is an integer number (1693673316720).

Almost surely, 2121200221220001 is an apocalyptic number.

121200221220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121200221220001 is a deficient number, since it is larger than the sum of its proper divisors (41392417185119).

121200221220001 is a wasteful number, since it uses less digits than its factorization.

121200221220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14075 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121200221220001 its reverse (100022122002121), we get a palindrome (221222343222122).

The spelling of 121200221220001 in words is "one hundred twenty-one trillion, two hundred billion, two hundred twenty-one million, two hundred twenty thousand, one".

Divisors: 1 7 11 19 49 77 133 209 251 539 931 1463 1757 2761 4769 6323 7457 10241 12299 19327 33383 44261 52199 52459 69553 82027 120137 135289 141683 233681 309827 365393 367213 486871 574189 840959 991781 1321507 1558513 1587073 1871707 2570491 3408097 4019323 5886713 6942467 9250549 10909591 11109511 13101949 17457803 20588777 30154387 35562433 47150611 64753843 76367137 77766577 91713643 122204621 144121439 211080709 248937031 330054277 331698257 391186763 518656721 855432347 895861609 1008850073 1477564963 1742559217 2310379939 2321887799 2738307341 3630597047 6271031263 9854477699 11834803361 16253214593 19168151387 25414179329 43897218841 68981343893 82843623527 130182836971 224861263859 482869407251 579905364689 911279858797 1574028847013 2473473902449 6378959011579 11018201929091 17314317317143 121200221220001