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121201940 = 22531233839
BaseRepresentation
bin1110011100101…
…10010100010100
322110001200210202
413032112110110
5222011430230
620005440032
73001125266
oct716262424
9273050722
10121201940
11624628a2
1234710018
131c158032
141214db36
15a991a45
hex7396514

121201940 has 48 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 46659840.

The previous prime is 121201903. The next prime is 121201943. The reversal of 121201940 is 49102121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201943) by changing a digit.

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, 144041 + ... + 144879.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2121201940 is an apocalyptic number.

121201940 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 121201940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

121201940 is an abundant number, since it is smaller than the sum of its proper divisors (142974700).

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

121201940 is a wasteful number, since it uses less digits than its factorization.

121201940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 121201940 is about 11009.1752642966. The cubic root of 121201940 is about 494.8837464639.

The spelling of 121201940 in words is "one hundred twenty-one million, two hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 233 310 466 620 839 932 1165 1678 2330 3356 4195 4660 7223 8390 14446 16780 26009 28892 36115 52018 72230 104036 130045 144460 195487 260090 390974 520180 781948 977435 1954870 3909740 6060097 12120194 24240388 30300485 60600970 121201940