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120420221004 = 2232171051187217
BaseRepresentation
bin111000000100110011…
…0101100000001001100
3102111211021220001100100
41300021212230001030
53433110034033004
6131153103131100
711462060663346
oct1601146540114
9374737801310
10120420221004
1147085091406
121b4085a3a90
13b481288855
145b85092296
1531ebd10739
hex1c099ac04c

120420221004 has 72 divisors (see below), whose sum is σ = 322609564368. Its totient is φ = 37742745600.

The previous prime is 120420220961. The next prime is 120420221027. The reversal of 120420221004 is 400122024021.

120420221004 is a `hidden beast` number, since 1 + 20 + 420 + 221 + 0 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549604 + ... + 736820.

It is an arithmetic number, because the mean of its divisors is an integer number (4480688394).

Almost surely, 2120420221004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120420221004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161304782184).

120420221004 is an abundant number, since it is smaller than the sum of its proper divisors (202189343364).

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

120420221004 is a wasteful number, since it uses less digits than its factorization.

120420221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188295 (or 188290 counting only the distinct ones).

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

Adding to 120420221004 its reverse (400122024021), we get a palindrome (520542245025).

The spelling of 120420221004 in words is "one hundred twenty billion, four hundred twenty million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1051 2102 3153 4204 6306 9459 12612 17867 18918 35734 37836 53601 71468 107202 160803 187217 214404 321606 374434 561651 643212 748868 1123302 1684953 2246604 3182689 3369906 6365378 6739812 9548067 12730756 19096134 28644201 38192268 57288402 114576804 196765067 393530134 590295201 787060268 1180590402 1770885603 2361180804 3345006139 3541771206 6690012278 7083542412 10035018417 13380024556 20070036834 30105055251 40140073668 60210110502 120420221004