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122040004356 = 223219892004731
BaseRepresentation
bin111000110101000100…
…1101010111100000100
3102200000011210120101100
41301222021222330010
53444414220114411
6132021524500100
711550156630654
oct1615211527404
9380004716340
10122040004356
1147836445636
121b79ab4a630
13b67ba2a23a
145c9a256364
15329411b456
hex1c6a26af04

122040004356 has 72 divisors (see below), whose sum is σ = 328375101600. Its totient is φ = 38105907840.

The previous prime is 122040004351. The next prime is 122040004357. The reversal of 122040004356 is 653400040221.

122040004356 is a `hidden beast` number, since 1 + 220 + 4 + 0 + 0 + 0 + 435 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (122040004351) 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 23 ways as a sum of consecutive naturals, for example, 941490 + ... + 1063241.

It is an arithmetic number, because the mean of its divisors is an integer number (4560765300).

Almost surely, 2122040004356 is an apocalyptic number.

It is an amenable number.

122040004356 is an abundant number, since it is smaller than the sum of its proper divisors (206335097244).

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

122040004356 is a wasteful number, since it uses less digits than its factorization.

122040004356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004849 (or 2004844 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 122040004356 its reverse (653400040221), we get a palindrome (775440044577).

The spelling of 122040004356 in words is "one hundred twenty-two billion, forty million, four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 534 684 801 1068 1602 1691 3204 3382 5073 6764 10146 15219 20292 30438 60876 2004731 4009462 6014193 8018924 12028386 18042579 24056772 36085158 38089889 72170316 76179778 114269667 152359556 178421059 228539334 342809001 356842118 457078668 535263177 685618002 713684236 1070526354 1371236004 1605789531 2141052708 3211579062 3390000121 6423158124 6780000242 10170000363 13560000484 20340000726 30510001089 40680001452 61020002178 122040004356