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120121242121021 = 1013076616838581
BaseRepresentation
bin11011010011111111100111…
…111101110111001100111101
3120202022110220220012221011011
4123103333213331313030331
5111221031300440333041
61103250534204155221
734205321234205511
oct3323774775671475
9522273826187134
10120121242121021
1135302150694229
1211580374b38b11
1352044cca6559b
142193c8334c141
15dd49686b6e81
hex6d3fe7f7733d

120121242121021 has 32 divisors (see below), whose sum is σ = 122082521210496. Its totient is φ = 118178105760000.

The previous prime is 120121242121019. The next prime is 120121242121043.

120121242121021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 120121242121021 - 21 = 120121242121019 is a prime.

It is a super-2 number, since 2×1201212421210212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120121242120983 and 120121242121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121242121061) 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, 13998508951 + ... + 13998517531.

It is an arithmetic number, because the mean of its divisors is an integer number (3815078787828).

Almost surely, 2120121242121021 is an apocalyptic number.

It is an amenable number.

120121242121021 is a deficient number, since it is larger than the sum of its proper divisors (1961279089475).

120121242121021 is a wasteful number, since it uses less digits than its factorization.

120121242121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10333.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 120121242121021 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred forty-two million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 101 307 661 683 8581 31007 66761 68983 202927 209681 451463 866681 2634367 5672041 5860823 20495627 21177781 45597763 138599141 266071067 572876141 591943123 1741316587 1799272661 3874004003 13998513241 175872975287 181726538761 391274404303 1189319228921 120121242121021