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120212010420 = 22355344385333
BaseRepresentation
bin110111111110100110…
…0011011010110110100
3102111021210002212010020
41233331030123112310
53432143233313140
6131120304325140
711453652141405
oct1577514332664
9374253085106
10120212010420
1146a88600747
121b36a9137b0
13b44a0b8318
145b655739ac
1531d88d36d0
hex1bfd31b5b4

120212010420 has 96 divisors (see below), whose sum is σ = 343722621312. Its totient is φ = 31380331008.

The previous prime is 120212010409. The next prime is 120212010463. The reversal of 120212010420 is 24010212021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120212010420.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1366074 + ... + 1451406.

It is an arithmetic number, because the mean of its divisors is an integer number (3580443972).

Almost surely, 2120212010420 is an apocalyptic number.

120212010420 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 120212010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171861310656).

120212010420 is an abundant number, since it is smaller than the sum of its proper divisors (223510610892).

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

120212010420 is a wasteful number, since it uses less digits than its factorization.

120212010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85841 (or 85839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120212010420 its reverse (24010212021), we get a palindrome (144222222441).

The spelling of 120212010420 in words is "one hundred twenty billion, two hundred twelve million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 443 530 636 795 886 1060 1329 1590 1772 2215 2658 3180 4430 5316 6645 8860 13290 23479 26580 46958 70437 85333 93916 117395 140874 170666 234790 255999 281748 341332 352185 426665 469580 511998 704370 853330 1023996 1279995 1408740 1706660 2559990 4522649 5119980 9045298 13567947 18090596 22613245 27135894 37802519 45226490 54271788 67839735 75605038 90452980 113407557 135679470 151210076 189012595 226815114 271358940 378025190 453630228 567037785 756050380 1134075570 2003533507 2268151140 4007067014 6010600521 8014134028 10017667535 12021201042 20035335070 24042402084 30053002605 40070670140 60106005210 120212010420