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120221000222202 = 232111762734445837
BaseRepresentation
bin11011010101011100100010…
…000000110100010111111010
3120202200000102012200112121100
4123111130202000310113322
5111224200102024102302
61103404433130352230
734215452313112605
oct3325344200642772
9522600365615540
10120221000222202
113534049251a150
121159777588b676
135210a3a40ab19
142198a2820133c
15dd735656cd1c
hex6d57220345fa

120221000222202 has 48 divisors (see below), whose sum is σ = 284174856699552. Its totient is φ = 36428538320160.

The previous prime is 120221000222201. The next prime is 120221000222243. The reversal of 120221000222202 is 202222000122021.

120221000222202 is a `hidden beast` number, since 1 + 20 + 221 + 0 + 0 + 0 + 222 + 202 = 666.

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 (120221000222201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13732773 + ... + 20713064.

It is an arithmetic number, because the mean of its divisors is an integer number (5920309514574).

Almost surely, 2120221000222202 is an apocalyptic number.

120221000222202 is an abundant number, since it is smaller than the sum of its proper divisors (163953856477350).

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

120221000222202 is a wasteful number, since it uses less digits than its factorization.

120221000222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34463483 (or 34463480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120221000222202 its reverse (202222000122021), we get a palindrome (322443000344223).

The spelling of 120221000222202 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 17627 35254 52881 105762 158643 193897 317286 387794 581691 1163382 1745073 3490146 34445837 68891674 103337511 206675022 310012533 378904207 620025066 757808414 1136712621 2273425242 3410137863 6820275726 607176768799 1214353537598 1821530306397 3643060612794 5464590919191 6678944456789 10929181838382 13357888913578 20036833370367 40073666740734 60110500111101 120221000222202