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20121020120 = 23529137126611
BaseRepresentation
bin10010101111010011…
…100110011011011000
31220221021020201122102
4102233103212123120
5312201440120440
613124331142532
71311421564145
oct225723463330
956837221572
1020121020120
118595878253
123a965a4a48
131b8879ac86
14d8c3c93cc
157cb6c3b15
hex4af4e66d8

20121020120 has 64 divisors (see below), whose sum is σ = 47175631200. Its totient is φ = 7714094080.

The previous prime is 20121020069. The next prime is 20121020147. The reversal of 20121020120 is 2102012102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95615 + ... + 222225.

Almost surely, 220121020120 is an apocalyptic number.

20121020120 is a gapful number since it is divisible by the number (20) 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 20121020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587815600).

20121020120 is an abundant number, since it is smaller than the sum of its proper divisors (27054611080).

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

20121020120 is a wasteful number, since it uses less digits than its factorization.

20121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126788 (or 126784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121020120 its reverse (2102012102), we get a palindrome (22223032222).

The spelling of 20121020120 in words is "twenty billion, one hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 137 145 232 274 290 548 580 685 1096 1160 1370 2740 3973 5480 7946 15892 19865 31784 39730 79460 126611 158920 253222 506444 633055 1012888 1266110 2532220 3671719 5064440 7343438 14686876 17345707 18358595 29373752 34691414 36717190 69382828 73434380 86728535 138765656 146868760 173457070 346914140 503025503 693828280 1006051006 2012102012 2515127515 4024204024 5030255030 10060510060 20121020120