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2121052501212 = 2233732171484969
BaseRepresentation
bin11110110111011000100…
…101001011010011011100
321111202210210111001200220
4132313120211023103130
5234222403420014322
64302221552121340
7306145441534101
oct36673045132334
97452723431626
102121052501212
11748595928717
122a30a8236250
1312502580b608
14749338ccaa8
153a29058555c
hex1edd894b4dc

2121052501212 has 48 divisors (see below), whose sum is σ = 5084466001440. Its totient is φ = 687694620672.

The previous prime is 2121052501201. The next prime is 2121052501223.

2121052501212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2121052501201) and next prime (2121052501223).

It is a super-2 number, since 2×21210525012122 (a number of 25 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685864 + ... + 2170832.

It is an arithmetic number, because the mean of its divisors is an integer number (105926375030).

Almost surely, 22121052501212 is an apocalyptic number.

It is an amenable number.

2121052501212 is an abundant number, since it is smaller than the sum of its proper divisors (2963413500228).

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

2121052501212 is a wasteful number, since it uses less digits than its factorization.

2121052501212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488230 (or 1488228 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 2121052501212 in words is "two trillion, one hundred twenty-one billion, fifty-two million, five hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 3217 6434 9651 12868 19302 38604 119029 238058 357087 476116 714174 1428348 1484969 2969938 4454907 5939876 8909814 17819628 54943853 109887706 164831559 219775412 329663118 659326236 4777145273 9554290546 14331435819 19108581092 28662871638 57325743276 176754375101 353508750202 530263125303 707017500404 1060526250606 2121052501212