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121621140 = 223251813733
BaseRepresentation
bin1110011111111…
…00101010010100
322110211222211200
413033330222110
5222113334030
620022432500
73004522404
oct717745224
9273758750
10121621140
1162719843
1234892730
131c273a94
141221c804
15aa25d60
hex73fca94

121621140 has 72 divisors (see below), whose sum is σ = 371055048. Its totient is φ = 32244480.

The previous prime is 121621133. The next prime is 121621163. The reversal of 121621140 is 41126121.

121621140 is a `hidden beast` number, since 1 + 2 + 1 + 621 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 121616784 = 66^2 + 11028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30714 + ... + 34446.

Almost surely, 2121621140 is an apocalyptic number.

121621140 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 121621140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185527524).

121621140 is an abundant number, since it is smaller than the sum of its proper divisors (249433908).

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

121621140 is a wasteful number, since it uses less digits than its factorization.

121621140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121621140 is about 11028.1974955112. The cubic root of 121621140 is about 495.4536398460.

Adding to 121621140 its reverse (41126121), we get a palindrome (162747261).

The spelling of 121621140 in words is "one hundred twenty-one million, six hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 3733 5430 6516 7466 8145 10860 11199 14932 16290 18665 22398 32580 33597 37330 44796 55995 67194 74660 111990 134388 167985 223980 335970 671940 675673 1351346 2027019 2702692 3378365 4054038 6081057 6756730 8108076 10135095 12162114 13513460 20270190 24324228 30405285 40540380 60810570 121621140