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2212112121210 = 2325731013333653
BaseRepresentation
bin100000001100001100001…
…010000011110101111010
321211110211220020001012100
4200030030022003311322
5242220401200334320
64412121423524230
7315551125533555
oct40141412036572
97743756201170
102212112121210
11783173693a12
122b887ba59676
131307a8013a74
14790d141769c
153c81e96d790
hex2030c283d7a

2212112121210 has 96 divisors (see below), whose sum is σ = 5888006371728. Its totient is φ = 576055065600.

The previous prime is 2212112121209. The next prime is 2212112121211. The reversal of 2212112121210 is 121212112122.

2212112121210 is a `hidden beast` number, since 221 + 2 + 112 + 121 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (2212112121209) and next prime (2212112121211).

It can be written as a sum of positive squares in 8 ways, for example, as 1226664787401 + 985447333809 = 1107549^2 + 992697^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2212112121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003257 + ... + 2330396.

Almost surely, 22212112121210 is an apocalyptic number.

2212112121210 is an abundant number, since it is smaller than the sum of its proper divisors (3675894250518).

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

2212112121210 is a wasteful number, since it uses less digits than its factorization.

2212112121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333840 (or 3333837 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2212112121210 its reverse (121212112122), we get a palindrome (2333324233332).

The spelling of 2212112121210 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 101 146 202 219 303 365 438 505 606 657 730 909 1010 1095 1314 1515 1818 2190 3030 3285 4545 6570 7373 9090 14746 22119 36865 44238 66357 73730 110595 132714 221190 331785 663570 3333653 6667306 10000959 16668265 20001918 30002877 33336530 50004795 60005754 100009590 150014385 243356669 300028770 336698953 486713338 673397906 730070007 1010096859 1216783345 1460140014 1683494765 2020193718 2190210021 2433566690 3030290577 3366989530 3650350035 4380420042 5050484295 6060581154 7300700070 10100968590 10951050105 15151452885 21902100210 24579023569 30302905770 49158047138 73737070707 122895117845 147474141414 221211212121 245790235690 368685353535 442422424242 737370707070 1106056060605 2212112121210