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121219032200 = 23527235172
BaseRepresentation
bin111000011100100110…
…1111010010010001000
3102120212221222212022012
41300321031322102020
53441224033012300
6131404240315052
711520630526100
oct1607115722210
9376787885265
10121219032200
1147454a90052
121b5b0012a88
13b57a9135b6
145c1d1cc200
153247000435
hex1c3937a488

121219032200 has 108 divisors (see below), whose sum is σ = 327941249535. Its totient is φ = 41548993920.

The previous prime is 121219032107. The next prime is 121219032211. The reversal of 121219032200 is 2230912121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 107385979204 + 13833052996 = 327698^2 + 117614^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=246190.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 34464842 + ... + 34468358.

Almost surely, 2121219032200 is an apocalyptic number.

121219032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121219032200

121219032200 is an abundant number, since it is smaller than the sum of its proper divisors (206722217335).

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

121219032200 is an frugal number, since it uses more digits than its factorization.

121219032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 121219032200 its reverse (2230912121), we get a palindrome (123449944321).

The spelling of 121219032200 in words is "one hundred twenty-one billion, two hundred nineteen million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3517 4900 7034 9800 14068 17585 24619 28136 35170 49238 70340 87925 98476 123095 140680 172333 175850 196952 246190 344666 351700 492380 615475 689332 703400 861665 984760 1230950 1378664 1723330 2461900 3446660 4308325 4923800 6893320 8616650 12369289 17233300 24738578 34466600 49477156 61846445 86585023 98954312 123692890 173170046 247385780 309232225 346340092 432925115 494771560 606095161 618464450 692680184 865850230 1212190322 1236928900 1731700460 2164625575 2424380644 2473857800 3030475805 3463400920 4329251150 4848761288 6060951610 8658502300 12121903220 15152379025 17317004600 24243806440 30304758050 60609516100 121219032200