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121221022001001 = 31343311331702193
BaseRepresentation
bin11011100011111111110111…
…111101001010011101101001
3120220012121122110002102222120
4123203333313331022131221
5111342041123113013001
61105452100235541453
734350633634016646
oct3343776775123551
9526177573072876
10121221022001001
113569660176a84a
1211719542bba889
13528412a060610
1421d11b34b6dcd
15e03384b87236
hex6e3ff7f4a769

121221022001001 has 64 divisors (see below), whose sum is σ = 179221659961344. Its totient is φ = 72408915532800.

The previous prime is 121221022000951. The next prime is 121221022001021. The reversal of 121221022001001 is 100100220122121.

It is not a de Polignac number, because 121221022001001 - 219 = 121221021476713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121221022001021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172280961 + ... + 172983153.

It is an arithmetic number, because the mean of its divisors is an integer number (2800338436896).

Almost surely, 2121221022001001 is an apocalyptic number.

It is an amenable number.

121221022001001 is a deficient number, since it is larger than the sum of its proper divisors (58000637960343).

121221022001001 is a wasteful number, since it uses less digits than its factorization.

121221022001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702894.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121221022001001 its reverse (100100220122121), we get a palindrome (221321242123122).

The spelling of 121221022001001 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-two million, one thousand, one".

Divisors: 1 3 13 39 43 129 311 331 559 933 993 1677 4043 4303 12129 12909 13373 14233 40119 42699 102941 173849 185029 308823 521547 555087 702193 1338233 2106579 4014699 4426463 9128509 13279389 27385527 30194299 57544019 90582897 172632057 218382023 232425883 392525887 655146069 697277649 1177577661 2838966299 3021536479 8516898897 9064609437 9390426989 9994312969 28171280967 29982938907 72284449613 122075550857 129926068597 216853348839 366226652571 389778205791 939697844969 2819093534907 3108231333359 9324694000077 40407007333667 121221022001001