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121351644 = 223217832389
BaseRepresentation
bin1110011101110…
…10110111011100
322110100022011100
413032322313130
5222031223034
620012553100
73002320611
oct716726734
9273308140
10121351644
1162555317
1234782790
131c1ab20b
141218c508
15a9c1099
hex73baddc

121351644 has 72 divisors (see below), whose sum is σ = 328844880. Its totient is φ = 37596672.

The previous prime is 121351621. The next prime is 121351649. The reversal of 121351644 is 446153121.

It is a happy number.

121351644 is a `hidden beast` number, since 1 + 2 + 13 + 5 + 1 + 644 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121351649) 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, 49602 + ... + 51990.

It is an arithmetic number, because the mean of its divisors is an integer number (4567290).

Almost surely, 2121351644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121351644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164422440).

121351644 is an abundant number, since it is smaller than the sum of its proper divisors (207493236).

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

121351644 is a wasteful number, since it uses less digits than its factorization.

121351644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2494 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 121351644 is about 11015.9722221872. The cubic root of 121351644 is about 495.0874164561.

The spelling of 121351644 in words is "one hundred twenty-one million, three hundred fifty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 249 306 332 498 612 747 996 1411 1494 2389 2822 2988 4233 4778 5644 7167 8466 9556 12699 14334 16932 21501 25398 28668 40613 43002 50796 81226 86004 121839 162452 198287 243678 365517 396574 487356 594861 731034 793148 1189722 1462068 1784583 2379444 3370879 3569166 6741758 7138332 10112637 13483516 20225274 30337911 40450548 60675822 121351644