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121076120 = 235112331181
BaseRepresentation
bin1110011011101…
…11100110011000
322102211022012202
413031313212120
5221443413440
620003025332
73000062414
oct715674630
9272738182
10121076120
1162387310
123466b248
131c112999
1412119d44
15a969615
hex7377998

121076120 has 64 divisors (see below), whose sum is σ = 298715040. Its totient is φ = 43801600.

The previous prime is 121076119. The next prime is 121076129. The reversal of 121076120 is 21670121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121076092 and 121076101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121076129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101930 + ... + 103110.

Almost surely, 2121076120 is an apocalyptic number.

121076120 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 121076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149357520).

121076120 is an abundant number, since it is smaller than the sum of its proper divisors (177638920).

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

121076120 is a wasteful number, since it uses less digits than its factorization.

121076120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 121076120 is about 11003.4594560075. The cubic root of 121076120 is about 494.7124405380.

The spelling of 121076120 in words is "one hundred twenty-one million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 233 440 466 932 1165 1181 1864 2330 2362 2563 4660 4724 5126 5905 9320 9448 10252 11810 12815 12991 20504 23620 25630 25982 47240 51260 51964 64955 102520 103928 129910 259820 275173 519640 550346 1100692 1375865 2201384 2751730 3026903 5503460 6053806 11006920 12107612 15134515 24215224 30269030 60538060 121076120