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120202211210112 = 2732104342197231
BaseRepresentation
bin11011010101001011000010…
…000110011011001110000000
3120202121012220202211211110200
4123111023002012123032000
5111223343112032210422
61103352044500525200
734214215564126653
oct3325130206331600
9522535822754420
10120202211210112
1135333520621289
1211593bb13b0800
13520c0348a3aa5
142197b64aa989a
15dd6b06cad2ac
hex6d52c219b380

120202211210112 has 48 divisors (see below), whose sum is σ = 345894383824080. Its totient is φ = 40067403736320.

The previous prime is 120202211210111. The next prime is 120202211210113. The reversal of 120202211210112 is 211012112202021.

120202211210112 is a `hidden beast` number, since 120 + 2 + 0 + 221 + 1 + 210 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (120202211210111) and next prime (120202211210113).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1202022112101122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202211210111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52171097464 + ... + 52171099767.

It is an arithmetic number, because the mean of its divisors is an integer number (7206132996335).

Almost surely, 2120202211210112 is an apocalyptic number.

120202211210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120202211210112 is an abundant number, since it is smaller than the sum of its proper divisors (225692172613968).

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

120202211210112 is a wasteful number, since it uses less digits than its factorization.

120202211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104342197251 (or 104342197236 counting only the distinct ones).

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

Adding to 120202211210112 its reverse (211012112202021), we get a palindrome (331214323412133).

The spelling of 120202211210112 in words is "one hundred twenty trillion, two hundred two billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 104342197231 208684394462 313026591693 417368788924 626053183386 834737577848 939079775079 1252106366772 1669475155696 1878159550158 2504212733544 3338950311392 3756319100316 5008425467088 6677900622784 7512638200632 10016850934176 13355801245568 15025276401264 20033701868352 30050552802528 40067403736704 60101105605056 120202211210112