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121348188 = 223213383677
BaseRepresentation
bin1110011101110…
…10000001011100
322110100010102100
413032322001130
5222031120223
620012525100
73002304543
oct716720134
9273303370
10121348188
1162552765
1234780790
131c1a9780
141218b15a
15a9c0043
hex73ba05c

121348188 has 72 divisors (see below), whose sum is σ = 331688448. Its totient is φ = 37185408.

The previous prime is 121348181. The next prime is 121348223. The reversal of 121348188 is 881843121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121348181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178906 + ... + 179582.

It is an arithmetic number, because the mean of its divisors is an integer number (4606784).

Almost surely, 2121348188 is an apocalyptic number.

121348188 is a gapful number since it is divisible by the number (18) 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 121348188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165844224).

121348188 is an abundant number, since it is smaller than the sum of its proper divisors (210340260).

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

121348188 is a wasteful number, since it uses less digits than its factorization.

121348188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1078 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 121348188 is about 11015.8153579297. The cubic root of 121348188 is about 495.0827165106.

The spelling of 121348188 in words is "one hundred twenty-one million, three hundred forty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 383 468 677 766 1149 1354 1532 2031 2298 2708 3447 4062 4596 4979 6093 6894 8124 8801 9958 12186 13788 14937 17602 19916 24372 26403 29874 35204 44811 52806 59748 79209 89622 105612 158418 179244 259291 316836 518582 777873 1037164 1555746 2333619 3111492 3370783 4667238 6741566 9334476 10112349 13483132 20224698 30337047 40449396 60674094 121348188