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120120212201001 = 31731181419764441
BaseRepresentation
bin11011010011111110101010…
…100101000001111000101001
3120202022101021010020120111020
4123103332222211001320221
5111221022143310413001
61103250244053323053
734205253560061315
oct3323765245017051
9522271233216436
10120120212201001
1135301772295061
1211580128036489
13520439758095c
142193bc6652b45
15dd4908075736
hex6d3faa941e29

120120212201001 has 32 divisors (see below), whose sum is σ = 176018983934976. Its totient is φ = 72535295232000.

The previous prime is 120120212200909. The next prime is 120120212201021. The reversal of 120120212201001 is 100102212021021.

It is not a de Polignac number, because 120120212201001 - 27 = 120120212200873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120120212201021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209596060 + ... + 210168381.

It is an arithmetic number, because the mean of its divisors is an integer number (5500593247968).

Almost surely, 2120120212201001 is an apocalyptic number.

It is an amenable number.

120120212201001 is a deficient number, since it is larger than the sum of its proper divisors (55898771733975).

120120212201001 is a wasteful number, since it uses less digits than its factorization.

120120212201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419764673.

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

Adding to 120120212201001 its reverse (100102212021021), we get a palindrome (220222424222022).

The spelling of 120120212201001 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twelve million, two hundred one thousand, one".

Divisors: 1 3 17 31 51 93 181 527 543 1581 3077 5611 9231 16833 95387 286161 419764441 1259293323 7135995497 13012697671 21407986491 39038093013 75977363821 221215860407 227932091463 663647581221 1291615184957 2355298278451 3874845554871 7065894835353 40040070733667 120120212201001