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120120920 = 2358397373
BaseRepresentation
bin1110010100011…
…10011001011000
322101000202220222
413022032121120
5221222332140
615530335212
72656003523
oct712163130
9271022828
10120120920
1161894697
123428a508
131bb69c8a
1411d4bbba
15a82b5b5
hex728e658

120120920 has 64 divisors (see below), whose sum is σ = 277089120. Its totient is φ = 46854144.

The previous prime is 120120919. The next prime is 120120937. The reversal of 120120920 is 29021021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321854 + ... + 322226.

Almost surely, 2120120920 is an apocalyptic number.

120120920 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 120120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138544560).

120120920 is an abundant number, since it is smaller than the sum of its proper divisors (156968200).

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

120120920 is a wasteful number, since it uses less digits than its factorization.

120120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 120120920 is about 10959.9689780583. The cubic root of 120120920 is about 493.4080338956.

Adding to 120120920 its reverse (29021021), we get a palindrome (149141941).

The spelling of 120120920 in words is "one hundred twenty million, one hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 97 166 194 332 373 388 415 485 664 746 776 830 970 1492 1660 1865 1940 2984 3320 3730 3880 7460 8051 14920 16102 30959 32204 36181 40255 61918 64408 72362 80510 123836 144724 154795 161020 180905 247672 289448 309590 322040 361810 619180 723620 1238360 1447240 3003023 6006046 12012092 15015115 24024184 30030230 60060460 120120920